{"id":16,"date":"2018-10-01T10:34:37","date_gmt":"2018-10-01T10:34:37","guid":{"rendered":"http:\/\/mat.uab.cat\/web\/agusti\/?page_id=16"},"modified":"2022-02-11T15:46:40","modified_gmt":"2022-02-11T15:46:40","slug":"recerca","status":"publish","type":"page","link":"https:\/\/mat.uab.cat\/web\/agusti\/recerca\/","title":{"rendered":"Recerca"},"content":{"rendered":"<p><a href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Stuttgart.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-452\" src=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Stuttgart-225x300.jpg\" alt=\"\" width=\"347\" height=\"463\" srcset=\"https:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Stuttgart-225x300.jpg 225w, https:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Stuttgart.jpg 480w\" sizes=\"auto, (max-width: 347px) 100vw, 347px\" \/><\/a><\/p>\n<p>Stuttgart 2004<\/p>\n<div class=\"teachpress_pub_list\"><form name=\"tppublistform\" method=\"get\"><a name=\"tppubs\" id=\"tppubs\"><\/a><\/form><div class=\"teachpress_publication_list\"><h3 class=\"tp_h3\" id=\"tp_h3_2025\">2025<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">Joaquim Bruna, Juli\u00e0 Cuf\u00ed, Agust\u00ed Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('132','tp_links')\" style=\"cursor:pointer;\">On some relations between the perimeter, the area and the visual angle of a convex set<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Advances in Geometry, <\/span><span class=\"tp_pub_additional_volume\">vol. 25, <\/span><span class=\"tp_pub_additional_issue\">iss. 1, <\/span><span class=\"tp_pub_additional_pages\">pp. 105-116, <\/span><span class=\"tp_pub_additional_year\">2025<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_132\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('132','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_132\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('132','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_132\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {On some relations between the perimeter, the area and the visual angle of a convex set},<br \/>\r\nauthor = {Joaquim Bruna, Juli\u00e0 Cuf\u00ed, Agust\u00ed Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2025\/01\/2025-1.pdf},<br \/>\r\nyear  = {2025},<br \/>\r\ndate = {2025-01-01},<br \/>\r\nurldate = {2025-01-01},<br \/>\r\njournal = {Advances in Geometry},<br \/>\r\nvolume = {25},<br \/>\r\nissue = {1},<br \/>\r\npages = {105-116},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('132','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_132\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2025\/01\/2025-1.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2025\/01\/2025-1.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2025\/01\/2025-1.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('132','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2023\">2023<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">Juli\u00e0 Cuf\u00ed, Agust\u00ed Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('129','tp_links')\" style=\"cursor:pointer;\">A historical review of the Cauchy-Riemann equations and the Cauchy Theorem<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_year\">2023<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_129\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('129','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_129\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('129','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_129\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('129','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_129\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {A historical review of the Cauchy-Riemann equations and the Cauchy Theorem},<br \/>\r\nauthor = {Juli\u00e0 Cuf\u00ed, Agust\u00ed Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2023\/11\/cauchy2023octubre-ENGLISH.pdf},<br \/>\r\nyear  = {2023},<br \/>\r\ndate = {2023-11-30},<br \/>\r\nurldate = {2023-11-30},<br \/>\r\nabstract = {Hist\u00f2ria de les equacions de Cauchy-Riemann},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('129','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_129\" style=\"display:none;\"><div class=\"tp_abstract_entry\">Hist\u00f2ria de les equacions de Cauchy-Riemann<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('129','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_129\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2023\/11\/cauchy2023octubre-ENGLISH.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2023\/11\/cauchy2023octu[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2023\/11\/cauchy2023octu[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('129','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Bruna, J. Cuf\u00ed, E. Gallego, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('130','tp_links')\" style=\"cursor:pointer;\">On Crofton\u2019s type formulas and the solid angle of convex sets<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Beitr\u00e4ge zur  Algebra und Geometrie, <\/span><span class=\"tp_pub_additional_year\">2023<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_130\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('130','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_130\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('130','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_130\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {On Crofton\u2019s type formulas and the solid angle of convex sets},<br \/>\r\nauthor = {J. Bruna, J. Cuf\u00ed, E. Gallego, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2024\/04\/Beitragen.pdf},<br \/>\r\nyear  = {2023},<br \/>\r\ndate = {2023-03-23},<br \/>\r\njournal = {Beitr\u00e4ge zur  Algebra und Geometrie},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('130','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_130\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2024\/04\/Beitragen.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2024\/04\/Beitragen.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2024\/04\/Beitragen.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('130','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2021\">2021<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, E. Gallego; A, Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('19','tp_links')\" style=\"cursor:pointer;\">Integral Geometry of pairs of planes <\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Archiv der Mathematik, <\/span><span class=\"tp_pub_additional_volume\">vol. 117, <\/span><span class=\"tp_pub_additional_pages\">pp. 579-591, <\/span><span class=\"tp_pub_additional_year\">2021<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_19\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('19','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_19\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('19','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_19\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('19','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_19\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{11,<br \/>\r\ntitle = {Integral Geometry of pairs of planes },<br \/>\r\nauthor = {J. Cuf\u00ed, E. Gallego and A, Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/IntegralGeometryOfPairsOfPlaneARCHIV.pdf},<br \/>\r\nyear  = {2021},<br \/>\r\ndate = {2021-01-01},<br \/>\r\njournal = {Archiv der Mathematik},<br \/>\r\nvolume = {117},<br \/>\r\npages = {579-591},<br \/>\r\nabstract = {We deal with integrals of invariant measures of pairs of planes in euclidean space  as considered by Hug and Schneider.  In this paper we   express some of these integrals in terms of functions of the visual angle of a convex set.As a consequence of our results we evaluate  the deficit in a Crofton-type inequality due to Blashcke.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('19','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_19\" style=\"display:none;\"><div class=\"tp_abstract_entry\">We deal with integrals of invariant measures of pairs of planes in euclidean space  as considered by Hug and Schneider.  In this paper we   express some of these integrals in terms of functions of the visual angle of a convex set.As a consequence of our results we evaluate  the deficit in a Crofton-type inequality due to Blashcke.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('19','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_19\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/IntegralGeometryOfPairsOfPlaneARCHIV.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/IntegralGeomet[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/IntegralGeomet[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('19','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2019\">2019<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, E. Gallego; A. Revent\u00f3s\r\n<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('18','tp_links')\" style=\"cursor:pointer;\">Integral geometry about the visual angle of a convex set<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Rendiconti del Circolo Matematico di Palermo , <\/span><span class=\"tp_pub_additional_volume\">vol. 69, <\/span><span class=\"tp_pub_additional_pages\">pp. 1115-1120, <\/span><span class=\"tp_pub_additional_year\">2019<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_18\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('18','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_18\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('18','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_18\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('18','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_18\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{10,<br \/>\r\ntitle = {Integral geometry about the visual angle of a convex set},<br \/>\r\nauthor = {J. Cuf\u00ed, E. Gallego and A. Revent\u00f3s<br \/>\r\n},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Cufi\u03012019_Article_IntegralGeometryAboutTheVisual.pdf},<br \/>\r\nyear  = {2019},<br \/>\r\ndate = {2019-10-15},<br \/>\r\njournal = {Rendiconti del Circolo Matematico di Palermo },<br \/>\r\nvolume = {69},<br \/>\r\npages = {1115-1120},<br \/>\r\nabstract = {In this paper we deal with a general type of integral formulas of the visual angle, among them those of Crofton, Hurwitz and Masotti, from the point of view of Integral Geometry. The purpose is twofold: to provide an interpretation of these formulas in terms of integrals of functions with respect to the canonical density in the space of pairs of lines and to give new simpler proofs of them.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('18','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_18\" style=\"display:none;\"><div class=\"tp_abstract_entry\">In this paper we deal with a general type of integral formulas of the visual angle, among them those of Crofton, Hurwitz and Masotti, from the point of view of Integral Geometry. The purpose is twofold: to provide an interpretation of these formulas in terms of integrals of functions with respect to the canonical density in the space of pairs of lines and to give new simpler proofs of them.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('18','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_18\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Cufi\u03012019_Article_IntegralGeometryAboutTheVisual.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Cufi\u03012019_Art[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Cufi\u03012019_Art[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('18','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, E. Gallego; A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('21','tp_links')\" style=\"cursor:pointer;\">On the integral formulas of Crofton and Hurwitz relative to the visual angle of  a convex set<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Mathematika, <\/span><span class=\"tp_pub_additional_volume\">vol. 65, <\/span><span class=\"tp_pub_additional_pages\">pp. 874-896, <\/span><span class=\"tp_pub_additional_year\">2019<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_21\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{13,<br \/>\r\ntitle = {On the integral formulas of Crofton and Hurwitz relative to the visual angle of  a convex set},<br \/>\r\nauthor = {J. Cuf\u00ed, E. Gallego and A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CGR.pdf},<br \/>\r\nyear  = {2019},<br \/>\r\ndate = {2019-06-01},<br \/>\r\nurldate = {2019-06-01},<br \/>\r\njournal = {Mathematika},<br \/>\r\nvolume = {65},<br \/>\r\npages = {874-896},<br \/>\r\nabstract = {We provide a unified approach that encompasses some integral formulas for functions of the visual angle of a compact convex set due to Crofton, Hurwitz and Masotti. The basic tool is an integral formula that also allows us to integrate new functions of the visual angle. Also, we establish some upper and lower bounds for the considered integrals, generalizing, in particular, those obtained by Santalo \u0301 for Masotti\u2019s integral.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_21\" style=\"display:none;\"><div class=\"tp_abstract_entry\">We provide a unified approach that encompasses some integral formulas for functions of the visual angle of a compact convex set due to Crofton, Hurwitz and Masotti. The basic tool is an integral formula that also allows us to integrate new functions of the visual angle. Also, we establish some upper and lower bounds for the considered integrals, generalizing, in particular, those obtained by Santalo \u0301 for Masotti\u2019s integral.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_21\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CGR.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CGR.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CGR.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, A. Revent\u00f3s; C. J. Rodr\u00edguez<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('20','tp_links')\" style=\"cursor:pointer;\">A discrete approach to Wirtinger inequality<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Journal of Mathematical Inequalities, <\/span><span class=\"tp_pub_additional_volume\">vol. 13, <\/span><span class=\"tp_pub_additional_number\">no. 3, <\/span><span class=\"tp_pub_additional_pages\">pp. 737-745, <\/span><span class=\"tp_pub_additional_year\">2019<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_20\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('20','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_20\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('20','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_20\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('20','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_20\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{12,<br \/>\r\ntitle = {A discrete approach to Wirtinger inequality},<br \/>\r\nauthor = {J. Cuf\u00ed, A. Revent\u00f3s and C. J. Rodr\u00edguez},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/jmi-13-50.pdf},<br \/>\r\nyear  = {2019},<br \/>\r\ndate = {2019-02-01},<br \/>\r\njournal = {Journal of Mathematical Inequalities},<br \/>\r\nvolume = {13},<br \/>\r\nnumber = {3},<br \/>\r\npages = {737-745},<br \/>\r\nabstract = {Considering Wirtinger\u2019s inequality for piece-wise equipartite functions we find a dis- crete version of this classical inequality. The main tool we use is the theorem of classification of isometries. Our approach provides a new elementary proof of Wirtinger\u2019s inequality that also allows to study the case of equality. Moreover it leads in a natural way to the Fourier series development of 2\u03c0 -periodic functions.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('20','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_20\" style=\"display:none;\"><div class=\"tp_abstract_entry\">Considering Wirtinger\u2019s inequality for piece-wise equipartite functions we find a dis- crete version of this classical inequality. The main tool we use is the theorem of classification of isometries. Our approach provides a new elementary proof of Wirtinger\u2019s inequality that also allows to study the case of equality. Moreover it leads in a natural way to the Fourier series development of 2\u03c0 -periodic functions.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('20','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_20\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/jmi-13-50.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/jmi-13-50.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/jmi-13-50.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('20','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2018\">2018<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, E. Gallego; A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('11','tp_links')\" style=\"cursor:pointer;\">A note on Hurwitz\u2019s inequality<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Journal of Mathematical Analysis and Applications, <\/span><span class=\"tp_pub_additional_volume\">vol. 458, <\/span><span class=\"tp_pub_additional_pages\">pp. 436-451, <\/span><span class=\"tp_pub_additional_year\">2018<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_11\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('11','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_11\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('11','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_11\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('11','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_11\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{1k,<br \/>\r\ntitle = {A note on Hurwitz\u2019s inequality},<br \/>\r\nauthor = {J. Cuf\u00ed, E. Gallego and A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/JMAA.pdf},<br \/>\r\nyear  = {2018},<br \/>\r\ndate = {2018-10-01},<br \/>\r\njournal = {Journal of Mathematical Analysis and Applications},<br \/>\r\nvolume = {458},<br \/>\r\npages = {436-451},<br \/>\r\nabstract = {Given a simple closed plane curve \u0393 of length L enclosing a compact convex set<br \/>\r\nK of area F, Hurwitz found an upper bound for the isoperimetric deficit, namely<br \/>\r\nL2 \u2212 4\u03c0F \u2264 \u03c0|Fe|, where Fe is the algebraic area enclosed by the evolute of \u0393. In<br \/>\r\nthis note we improve this inequality finding strictly positive lower bounds for the<br \/>\r\ndeficit \u03c0|Fe|\u2212\u0394, where \u0394 = L2 \u22124\u03c0F. These bounds involve either the visual angle<br \/>\r\nof \u0393 or the pedal curve associated to K with respect to the Steiner point of K or<br \/>\r\nthe L2 distance between K and the Steiner disk of K. For compact convex sets of<br \/>\r\nconstant width Hurwitz\u2019s inequality can be improved to L2 \u22124\u03c0F \u2264 4 \u03c0|Fe|. In this 9<br \/>\r\ncase we also get strictly positive lower bounds for the deficit 4 \u03c0|Fe| \u2212 \u0394. For each 9<br \/>\r\nestablished inequality we study when equality holds. This occurs for those compact convex sets being bounded by a curve parallel to an hypocycloid of 3, 4 or 5 cusps or the Minkowski sum of this kind of sets.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('11','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_11\" style=\"display:none;\"><div class=\"tp_abstract_entry\">Given a simple closed plane curve \u0393 of length L enclosing a compact convex set<br \/>\r\nK of area F, Hurwitz found an upper bound for the isoperimetric deficit, namely<br \/>\r\nL2 \u2212 4\u03c0F \u2264 \u03c0|Fe|, where Fe is the algebraic area enclosed by the evolute of \u0393. In<br \/>\r\nthis note we improve this inequality finding strictly positive lower bounds for the<br \/>\r\ndeficit \u03c0|Fe|\u2212\u0394, where \u0394 = L2 \u22124\u03c0F. These bounds involve either the visual angle<br \/>\r\nof \u0393 or the pedal curve associated to K with respect to the Steiner point of K or<br \/>\r\nthe L2 distance between K and the Steiner disk of K. For compact convex sets of<br \/>\r\nconstant width Hurwitz\u2019s inequality can be improved to L2 \u22124\u03c0F \u2264 4 \u03c0|Fe|. In this 9<br \/>\r\ncase we also get strictly positive lower bounds for the deficit 4 \u03c0|Fe| \u2212 \u0394. For each 9<br \/>\r\nestablished inequality we study when equality holds. This occurs for those compact convex sets being bounded by a curve parallel to an hypocycloid of 3, 4 or 5 cusps or the Minkowski sum of this kind of sets.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('11','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_11\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/JMAA.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/JMAA.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/JMAA.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('11','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2016\">2016<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, A. Revent\u00f3s <\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('9','tp_links')\" style=\"cursor:pointer;\"> A lower bound for the isoperimetric deficit<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Elemente der Mathematik, <\/span><span class=\"tp_pub_additional_volume\">vol. 71, <\/span><span class=\"tp_pub_additional_pages\">pp. 156-167, <\/span><span class=\"tp_pub_additional_year\">2016<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_9\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('9','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_9\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('9','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_9\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('9','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_9\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{1i,<br \/>\r\ntitle = { A lower bound for the isoperimetric deficit},<br \/>\r\nauthor = {J. Cuf\u00ed, A. Revent\u00f3s },<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Cufi-Reventos.pdf},<br \/>\r\nyear  = {2016},<br \/>\r\ndate = {2016-10-01},<br \/>\r\njournal = {Elemente der Mathematik},<br \/>\r\nvolume = {71},<br \/>\r\npages = {156-167},<br \/>\r\nabstract = {Fu \u0308r jede Figur K in der Ebene mit Umfang L und Fla \u0308che F gilt die isoperimetrische Ungleichung \udbff\udc06 := L 2 \u2212 4\u03c0 F \u2265 0. Gleichheit gilt genau fu \u0308 r Kreise. Hurwitz gelang 1902 nicht nur ein eleganter Beweis der isoperimetrischen Ungleichung mit Hilfe von Fourier-Reihen, er bewies zudem eine obere Schranke fu \u0308r das isoperimetrische Defizit \udbff\udc06, indem er die Evolute der Kurve ins Spiel brachte. 1920 fand Bonnesen eine un- tere Schranke fu \u0308r \udbff\udc06, na \u0308mtlich \u03c0(R \u2212 r)2 \u2264 \udbff\udc06, wobei R und r den Um- respektive den Inkreisradius der Randkurve C der betrachteten Figur K bezeichnen. In der vor- liegenden Arbeit wird eine andere untere Schranke fu \u0308r \udbff\udc06 bewiesen: Diese ergibt sich aus der Differenz der von C umrandeten Fla \u0308che und der Fla \u0308che welche die Pedalkurve von C bezu \u0308glich des Steiner-Punktes von C einschliesst. Das Resultat verbessert damit Abscha \u0308tzungen z.B. von Groemer. Es wird zudem bestimmt, fu \u0308r welche Kurven die neue Abscha \u0308tzung scharf ist.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('9','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_9\" style=\"display:none;\"><div class=\"tp_abstract_entry\">Fu \u0308r jede Figur K in der Ebene mit Umfang L und Fla \u0308che F gilt die isoperimetrische Ungleichung \udbff\udc06 := L 2 \u2212 4\u03c0 F \u2265 0. Gleichheit gilt genau fu \u0308 r Kreise. Hurwitz gelang 1902 nicht nur ein eleganter Beweis der isoperimetrischen Ungleichung mit Hilfe von Fourier-Reihen, er bewies zudem eine obere Schranke fu \u0308r das isoperimetrische Defizit \udbff\udc06, indem er die Evolute der Kurve ins Spiel brachte. 1920 fand Bonnesen eine un- tere Schranke fu \u0308r \udbff\udc06, na \u0308mtlich \u03c0(R \u2212 r)2 \u2264 \udbff\udc06, wobei R und r den Um- respektive den Inkreisradius der Randkurve C der betrachteten Figur K bezeichnen. In der vor- liegenden Arbeit wird eine andere untere Schranke fu \u0308r \udbff\udc06 bewiesen: Diese ergibt sich aus der Differenz der von C umrandeten Fla \u0308che und der Fla \u0308che welche die Pedalkurve von C bezu \u0308glich des Steiner-Punktes von C einschliesst. Das Resultat verbessert damit Abscha \u0308tzungen z.B. von Groemer. Es wird zudem bestimmt, fu \u0308r welche Kurven die neue Abscha \u0308tzung scharf ist.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('9','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_9\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Cufi-Reventos.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Cufi-Reventos.[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Cufi-Reventos.[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('9','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">B. Herrera, J.Pallar\u00e9s; A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('22','tp_links')\" style=\"cursor:pointer;\">Geometric characterization of the rotation centers of a particle in a flow<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Note di Matematica, <\/span><span class=\"tp_pub_additional_volume\">vol. 36, <\/span><span class=\"tp_pub_additional_pages\">pp. 37-47, <\/span><span class=\"tp_pub_additional_year\">2016<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_22\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('22','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_22\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('22','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_22\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('22','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_22\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{14,<br \/>\r\ntitle = {Geometric characterization of the rotation centers of a particle in a flow},<br \/>\r\nauthor = {B. Herrera, J.Pallar\u00e9s and A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/NOTEMAT_VOL_36_2-2-2.pdf},<br \/>\r\nyear  = {2016},<br \/>\r\ndate = {2016-01-10},<br \/>\r\nurldate = {2016-01-10},<br \/>\r\njournal = {Note di Matematica},<br \/>\r\nvolume = {36},<br \/>\r\npages = {37-47},<br \/>\r\nabstract = {We provide a geometrical characterization of the instantaneous rotation centers<br \/>\r\nO (p, t) of a particle in a flow F over time t. Specifically, we will prove that: a) at a specific <br \/>\r\ninstant t, the point O (p, t) is the center of curvature at the vertex of the parabola which best<br \/>\r\nfits the path-particle line \u03b3 (t) on its Darboux plane at p, and b) over time t, the geometrical <br \/>\r\nlocus of O (p, t) is the line of striction of the principal normal surface generated by \u03b3 (t).},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('22','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_22\" style=\"display:none;\"><div class=\"tp_abstract_entry\">We provide a geometrical characterization of the instantaneous rotation centers<br \/>\r\nO (p, t) of a particle in a flow F over time t. Specifically, we will prove that: a) at a specific <br \/>\r\ninstant t, the point O (p, t) is the center of curvature at the vertex of the parabola which best<br \/>\r\nfits the path-particle line \u03b3 (t) on its Darboux plane at p, and b) over time t, the geometrical <br \/>\r\nlocus of O (p, t) is the line of striction of the principal normal surface generated by \u03b3 (t).<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('22','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_22\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/NOTEMAT_VOL_36_2-2-2.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/NOTEMAT_VOL_36[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/NOTEMAT_VOL_36[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('22','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2015\">2015<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, A. Revent\u00f3s; C. Rodr\u00edguez<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('10','tp_links')\" style=\"cursor:pointer;\">Curvature for Polygons<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">The American Mathematical Monthly, <\/span><span class=\"tp_pub_additional_volume\">vol. 122, <\/span><span class=\"tp_pub_additional_pages\">pp. 332-337, <\/span><span class=\"tp_pub_additional_year\">2015<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_10\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('10','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_10\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('10','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_10\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('10','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_10\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{1j,<br \/>\r\ntitle = {Curvature for Polygons},<br \/>\r\nauthor = {J. Cuf\u00ed, A. Revent\u00f3s and C. Rodr\u00edguez},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/amer.math_.monthly.122.04.332.pdf},<br \/>\r\nyear  = {2015},<br \/>\r\ndate = {2015-10-01},<br \/>\r\njournal = {The American Mathematical Monthly},<br \/>\r\nvolume = {122},<br \/>\r\npages = {332-337},<br \/>\r\nabstract = {Using a notion of curvature at the vertices of a polygon, we prove an inequality involving the length of the sides of the polygon and the radii of curvature at the vertices. As a consequence, we obtain a discrete version of Ros\u2019 inequality.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('10','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_10\" style=\"display:none;\"><div class=\"tp_abstract_entry\">Using a notion of curvature at the vertices of a polygon, we prove an inequality involving the length of the sides of the polygon and the radii of curvature at the vertices. As a consequence, we obtain a discrete version of Ros\u2019 inequality.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('10','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_10\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/amer.math_.monthly.122.04.332.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/amer.math_.mon[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/amer.math_.mon[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('10','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2014\">2014<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Cuf\u00ed, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('8','tp_links')\" style=\"cursor:pointer;\">EVOLUTES AND ISOPERIMETRIC DEFICIT IN TWO-DIMENSIONAL SPACES OF CONSTANT CURVATURE<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">ARCHIVUM MATHEMATICUM (BRNO), <\/span><span class=\"tp_pub_additional_volume\">vol. 50, <\/span><span class=\"tp_pub_additional_pages\">pp. 219-236, <\/span><span class=\"tp_pub_additional_year\">2014<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_8\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('8','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_8\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('8','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_8\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('8','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_8\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{1h,<br \/>\r\ntitle = {EVOLUTES AND ISOPERIMETRIC DEFICIT IN TWO-DIMENSIONAL SPACES OF CONSTANT CURVATURE},<br \/>\r\nauthor = {J. Cuf\u00ed, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Versio-archivum.pdf},<br \/>\r\nyear  = {2014},<br \/>\r\ndate = {2014-10-01},<br \/>\r\njournal = {ARCHIVUM MATHEMATICUM (BRNO)},<br \/>\r\nvolume = {50},<br \/>\r\npages = {219-236},<br \/>\r\nabstract = {We relate the total curvature and the isoperimetric deficit of a curve \u03b3 in a two-dimensional space of constant curvature with the area enclosed by the evolute of \u03b3. We provide also a Gauss-Bonnet theorem for a special class of evolutes.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('8','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_8\" style=\"display:none;\"><div class=\"tp_abstract_entry\">We relate the total curvature and the isoperimetric deficit of a curve \u03b3 in a two-dimensional space of constant curvature with the area enclosed by the evolute of \u03b3. We provide also a Gauss-Bonnet theorem for a special class of evolutes.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('8','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_8\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Versio-archivum.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Versio-archivu[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/Versio-archivu[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('8','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2012\">2012<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Abardia, C. J. Rodr\u00edguez; A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('23','tp_links')\" style=\"cursor:pointer;\">What did Gauss read in the Appendix?<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Historia Mathematika, <\/span><span class=\"tp_pub_additional_volume\">vol. 39, <\/span><span class=\"tp_pub_additional_pages\">pp. 292-323, <\/span><span class=\"tp_pub_additional_year\">2012<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_23\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('23','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_23\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('23','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_23\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('23','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_23\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{15,<br \/>\r\ntitle = {What did Gauss read in the Appendix?},<br \/>\r\nauthor = {J. Abardia, C. J. Rodr\u00edguez and A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/YHMAT2784.pdf},<br \/>\r\nyear  = {2012},<br \/>\r\ndate = {2012-05-04},<br \/>\r\nurldate = {2012-05-04},<br \/>\r\njournal = {Historia Mathematika},<br \/>\r\nvolume = {39},<br \/>\r\npages = {292-323},<br \/>\r\nabstract = {In a clear analogy with spherical geometry, Lambert states that in an \u201cimaginary sphere\u201d the sum of the angles of a triangle would be less than p. In this paper we analyze the role played by this imaginary sphere in the development of non-Euclidean geometry, and how it served Gauss as a guide. More precisely, we analyze Gauss\u2019s reading of Bolyai\u2019s Appendix in 1832, five years after the publication of Disquisitiones generales circa superficies curvas, on the assumption that his investigations into the foundations of geometry were aimed at finding, among the surfaces in space, Lambert\u2019s hypothetical imaginary sphere. We also wish to show that the close relation between differential geometry and non-Euclidean geometry is already present in J\u00e1nos Bol- yai\u2019s Appendix, that is, well before its appearance in Beltrami\u2019s Saggio. From this point of view, one is able to answer certain natural questions about the history of non-Euclidean geometry; for instance, why Gauss decided not to write further on the subject after reading the Appendix.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('23','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_23\" style=\"display:none;\"><div class=\"tp_abstract_entry\">In a clear analogy with spherical geometry, Lambert states that in an \u201cimaginary sphere\u201d the sum of the angles of a triangle would be less than p. In this paper we analyze the role played by this imaginary sphere in the development of non-Euclidean geometry, and how it served Gauss as a guide. More precisely, we analyze Gauss\u2019s reading of Bolyai\u2019s Appendix in 1832, five years after the publication of Disquisitiones generales circa superficies curvas, on the assumption that his investigations into the foundations of geometry were aimed at finding, among the surfaces in space, Lambert\u2019s hypothetical imaginary sphere. We also wish to show that the close relation between differential geometry and non-Euclidean geometry is already present in J\u00e1nos Bol- yai\u2019s Appendix, that is, well before its appearance in Beltrami\u2019s Saggio. From this point of view, one is able to answer certain natural questions about the history of non-Euclidean geometry; for instance, why Gauss decided not to write further on the subject after reading the Appendix.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('23','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_23\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/YHMAT2784.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/YHMAT2784.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/YHMAT2784.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('23','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2010\">2010<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">E. Gallego, A. Revent\u00f3s, G. Solanes; E. Teufel<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('87','tp_links')\" style=\"cursor:pointer;\">A kinematic formula for the total absolute curvature of intersections<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Advances in Geometry, <\/span><span class=\"tp_pub_additional_volume\">vol. 10, <\/span><span class=\"tp_pub_additional_pages\">pp. 709-718, <\/span><span class=\"tp_pub_additional_year\">2010<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_87\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('87','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_87\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('87','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_87\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {A kinematic formula for the total absolute curvature of intersections},<br \/>\r\nauthor = {E. Gallego, A. Revent\u00f3s, G. Solanes and E. Teufel},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/KinematicAdvancesGeometry.pdf},<br \/>\r\nyear  = {2010},<br \/>\r\ndate = {2010-06-30},<br \/>\r\nurldate = {2010-06-30},<br \/>\r\njournal = {Advances in Geometry},<br \/>\r\nvolume = {10},<br \/>\r\npages = {709-718},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('87','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_87\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/KinematicAdvancesGeometry.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/KinematicAdvan[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/KinematicAdvan[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('87','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2009\">2009<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">E. Gallego, A. Revent\u00f3s, G. Solanes, E. Teufel<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('24','tp_links')\" style=\"cursor:pointer;\">Horospheres in Hyperbolic Geometry<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Centre Recerca Matem\u00e0tica, <\/span><span class=\"tp_pub_additional_number\">no. 805, <\/span><span class=\"tp_pub_additional_pages\">pp. 1-20, <\/span><span class=\"tp_pub_additional_year\">2009<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_24\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('24','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_24\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('24','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_24\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('24','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_24\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{16,<br \/>\r\ntitle = {Horospheres in Hyperbolic Geometry},<br \/>\r\nauthor = {E. Gallego, A. Revent\u00f3s, G. Solanes, E. Teufel},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CRM_prep_envelopesTEDI.pdf},<br \/>\r\nyear  = {2009},<br \/>\r\ndate = {2009-06-01},<br \/>\r\nurldate = {2009-06-01},<br \/>\r\njournal = {Centre Recerca Matem\u00e0tica},<br \/>\r\nnumber = {805},<br \/>\r\npages = {1-20},<br \/>\r\nabstract = {In this paper we investigate the role of horo- spheres in Integral Geometry and Differential Geometry. In particular we study envelopes of families of horocycles by means of \u201csupport maps\u201d. We define invariant \u201clinear combination\u201d of support maps or curves. Finally we ob- tain Gauss-Bonnet type formulas and Chern-Lashof type inequalities.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('24','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_24\" style=\"display:none;\"><div class=\"tp_abstract_entry\">In this paper we investigate the role of horo- spheres in Integral Geometry and Differential Geometry. In particular we study envelopes of families of horocycles by means of \u201csupport maps\u201d. We define invariant \u201clinear combination\u201d of support maps or curves. Finally we ob- tain Gauss-Bonnet type formulas and Chern-Lashof type inequalities.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('24','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_24\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CRM_prep_envelopesTEDI.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CRM_prep_envel[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/CRM_prep_envel[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('24','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2008\">2008<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">E. Gallego, A. Revent\u00f3s, G. Solanes, E. Teufel<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('88','tp_links')\" style=\"cursor:pointer;\">Width of convex bodies in spaces of constant curvature<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Manuscripta Mathematica, <\/span><span class=\"tp_pub_additional_volume\">vol. 126, <\/span><span class=\"tp_pub_additional_pages\">pp. 115-134, <\/span><span class=\"tp_pub_additional_year\">2008<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_88\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('88','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_88\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('88','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_88\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {Width of convex bodies in spaces of constant curvature},<br \/>\r\nauthor = {E. Gallego, A. Revent\u00f3s, G. Solanes, E. Teufel},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/VersioManuscripta.pdf},<br \/>\r\nyear  = {2008},<br \/>\r\ndate = {2008-01-10},<br \/>\r\nurldate = {2008-01-10},<br \/>\r\njournal = {Manuscripta Mathematica},<br \/>\r\nvolume = {126},<br \/>\r\npages = {115-134},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('88','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_88\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/VersioManuscripta.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/VersioManuscri[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/VersioManuscri[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('88','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2007\">2007<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">C. A. Escudero, A. Revent\u00f3s, G. Solanes<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('26','tp_links')\" style=\"cursor:pointer;\">Focal sets in two-dimensional space forms<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Pacific Journal of Mathematics, <\/span><span class=\"tp_pub_additional_volume\">vol. 233, <\/span><span class=\"tp_pub_additional_number\">no. 2, <\/span><span class=\"tp_pub_additional_pages\">pp. 309-320, <\/span><span class=\"tp_pub_additional_year\">2007<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_26\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('26','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_26\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('26','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_26\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('26','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_26\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{16c,<br \/>\r\ntitle = {Focal sets in two-dimensional space forms},<br \/>\r\nauthor = {C. A. Escudero, A. Revent\u00f3s, G. Solanes},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/versiopublicada.pdf},<br \/>\r\nyear  = {2007},<br \/>\r\ndate = {2007-12-11},<br \/>\r\nurldate = {2007-12-11},<br \/>\r\njournal = {Pacific Journal of Mathematics},<br \/>\r\nvolume = {233},<br \/>\r\nnumber = {2},<br \/>\r\npages = {309-320},<br \/>\r\nabstract = {We relate the area of a convex set in a 2-dimensional space of constant curvature with some integrals over the curvature radius at its boundary.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('26','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_26\" style=\"display:none;\"><div class=\"tp_abstract_entry\">We relate the area of a convex set in a 2-dimensional space of constant curvature with some integrals over the curvature radius at its boundary.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('26','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_26\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/versiopublicada.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/versiopublicad[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/versiopublicad[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('26','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">C. A. Escudero, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('27','tp_links')\" style=\"cursor:pointer;\">An interesting property of the evolute<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">The American Mathematical Monthly , <\/span><span class=\"tp_pub_additional_volume\">vol. 114, <\/span><span class=\"tp_pub_additional_number\">no. 7, <\/span><span class=\"tp_pub_additional_pages\">pp. 623-628, <\/span><span class=\"tp_pub_additional_year\">2007<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_27\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('27','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_27\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('27','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_27\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{18,<br \/>\r\ntitle = {An interesting property of the evolute},<br \/>\r\nauthor = {C. A. Escudero, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/monthly623-628-escudero.pdf},<br \/>\r\nyear  = {2007},<br \/>\r\ndate = {2007-07-11},<br \/>\r\nurldate = {2007-07-11},<br \/>\r\njournal = {The American Mathematical Monthly },<br \/>\r\nvolume = {114},<br \/>\r\nnumber = {7},<br \/>\r\npages = {623-628},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('27','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_27\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/monthly623-628-escudero.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/monthly623-628[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/monthly623-628[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('27','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2006\">2006<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">C. A. Escudero, A. Revent\u00f3s, G. Solanes<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('95','tp_links')\" style=\"cursor:pointer;\">An interesting property of the evolute<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">ICM 2006, <\/span><span class=\"tp_pub_additional_year\">2006<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_95\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('95','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_95\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('95','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_95\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {An interesting property of the evolute},<br \/>\r\nauthor = {C. A. Escudero, A. Revent\u00f3s, G. Solanes},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/poster2.pdf},<br \/>\r\nyear  = {2006},<br \/>\r\ndate = {2006-06-04},<br \/>\r\nurldate = {2006-06-04},<br \/>\r\njournal = {ICM 2006},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('95','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_95\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/poster2.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/poster2.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/poster2.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('95','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_2001\">2001<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">A.A. Borisenko, E.Gallego, A.Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('28','tp_links')\" style=\"cursor:pointer;\">Relation between area and volume for \u03bb-convex sets in Hadamard manifolds<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Differential Geometry and its Applications, <\/span><span class=\"tp_pub_additional_volume\">vol. 14, <\/span><span class=\"tp_pub_additional_pages\">pp. 267-280, <\/span><span class=\"tp_pub_additional_year\">2001<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_28\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('28','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_28\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('28','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_28\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('28','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_28\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{19,<br \/>\r\ntitle = {Relation between area and volume for \u03bb-convex sets in Hadamard manifolds},<br \/>\r\nauthor = {A.A. Borisenko, E.Gallego, A.Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/BGR.pdf},<br \/>\r\nyear  = {2001},<br \/>\r\ndate = {2001-06-01},<br \/>\r\nurldate = {2001-06-01},<br \/>\r\njournal = {Differential Geometry and its Applications},<br \/>\r\nvolume = {14},<br \/>\r\npages = {267-280},<br \/>\r\nabstract = {It is known that for a sequence {\udbff\udc90t } of convex sets expanding over the whole hyperbolic space Hn+1 the limit of the quotient vol(\udbff\udc90t )\/vol(\u2202\udbff\udc90t ) is less or equal than 1\/n, and exactly 1\/n when the sets considered are convex with respect to horocycles. When convexity is with respect to equidistant lines, i.e., curves with constant geodesic curvature \u03bb less than one, the above limit has \u03bb\/n as lower bound. Looking how the boundary bends, in this paper we give bounds of the above quotient for a compact \u03bb-convex domain in a complete simply-connected manifold of negative and bounded sectional curvature, a Hadamard manifold. Then we see that the limit of vol(\udbff\udc90t )\/vol(\u2202 \udbff\udc90t ) for sequences of \u03bb-convex domains expanding over the whole space lies between the values \u03bb\/nk2 and 1\/nk .},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('28','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_28\" style=\"display:none;\"><div class=\"tp_abstract_entry\">It is known that for a sequence {\udbff\udc90t } of convex sets expanding over the whole hyperbolic space Hn+1 the limit of the quotient vol(\udbff\udc90t )\/vol(\u2202\udbff\udc90t ) is less or equal than 1\/n, and exactly 1\/n when the sets considered are convex with respect to horocycles. When convexity is with respect to equidistant lines, i.e., curves with constant geodesic curvature \u03bb less than one, the above limit has \u03bb\/n as lower bound. Looking how the boundary bends, in this paper we give bounds of the above quotient for a compact \u03bb-convex domain in a complete simply-connected manifold of negative and bounded sectional curvature, a Hadamard manifold. Then we see that the limit of vol(\udbff\udc90t )\/vol(\u2202 \udbff\udc90t ) for sequences of \u03bb-convex domains expanding over the whole space lies between the values \u03bb\/nk2 and 1\/nk .<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('28','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_28\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/BGR.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/BGR.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/BGR.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('28','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1999\">1999<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">Eduard Gallego, Agust\u00ed Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('4','tp_links')\" style=\"cursor:pointer;\">Asymptotic Behaviour of \u03bb-Convex Sets in the Hyperbolic Plane<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Geometriae Dedicata, <\/span><span class=\"tp_pub_additional_volume\">vol. 76, <\/span><span class=\"tp_pub_additional_pages\">pp. 275-289, <\/span><span class=\"tp_pub_additional_year\">1999<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_4\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('4','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_4\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('4','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_4\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('4','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_4\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{1d,<br \/>\r\ntitle = {Asymptotic Behaviour of \u03bb-Convex Sets in the Hyperbolic Plane},<br \/>\r\nauthor = {Eduard Gallego, Agust\u00ed Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/GeometriaeDedicata.pdf},<br \/>\r\nyear  = {1999},<br \/>\r\ndate = {1999-01-01},<br \/>\r\njournal = {Geometriae Dedicata},<br \/>\r\nvolume = {76},<br \/>\r\npages = {275-289},<br \/>\r\nabstract = {It is known that the limit Area\/Length for a sequence of convex sets expanding over the whole hyperbolic plane is less than or equal to 1, and exactly 1 when the sets considered are convex with respect to horocycles. We consider geodesics and horocycles as particular cases of curves of constant geodesic curvature \u03bb with 0 &lt; \u03bb &lt; 1 and we study the above limit Area\/Length as a function of the parameter \u03bb.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('4','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_4\" style=\"display:none;\"><div class=\"tp_abstract_entry\">It is known that the limit Area\/Length for a sequence of convex sets expanding over the whole hyperbolic plane is less than or equal to 1, and exactly 1 when the sets considered are convex with respect to horocycles. We consider geodesics and horocycles as particular cases of curves of constant geodesic curvature \u03bb with 0 &lt; \u03bb &lt; 1 and we study the above limit Area\/Length as a function of the parameter \u03bb.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('4','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_4\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/GeometriaeDedicata.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/GeometriaeDedi[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/GeometriaeDedi[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('4','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1997\">1997<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">B. Herrera, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('29','tp_links')\" style=\"cursor:pointer;\"> The transverse structure of Lie flows of codimension 3<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">J. Math. Kyoto Univ., <\/span><span class=\"tp_pub_additional_volume\">vol. 37, <\/span><span class=\"tp_pub_additional_number\">no. 3, <\/span><span class=\"tp_pub_additional_pages\">pp. 455-476, <\/span><span class=\"tp_pub_additional_year\">1997<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_29\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('29','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_29\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('29','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_29\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('29','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_29\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{20,<br \/>\r\ntitle = { The transverse structure of Lie flows of codimension 3},<br \/>\r\nauthor = {B. Herrera, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Kyoto-1997-vol-37.pdf},<br \/>\r\nyear  = {1997},<br \/>\r\ndate = {1997-06-11},<br \/>\r\nurldate = {1997-06-11},<br \/>\r\njournal = {J. Math. Kyoto Univ.},<br \/>\r\nvolume = {37},<br \/>\r\nnumber = {3},<br \/>\r\npages = {455-476},<br \/>\r\nabstract = {This paper deals with the problem of the realization of a given Lie algebra as transverse algebra to a Lie foliation on a compact manifold.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('29','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_29\" style=\"display:none;\"><div class=\"tp_abstract_entry\">This paper deals with the problem of the realization of a given Lie algebra as transverse algebra to a Lie foliation on a compact manifold.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('29','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_29\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Kyoto-1997-vol-37.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Kyoto-1997-vol[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Kyoto-1997-vol[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('29','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1996\">1996<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">B. Herrerra. M. Llabr\u00e9s, A.Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('30','tp_links')\" style=\"cursor:pointer;\">Transverse structure of Lie foliations<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">J. Math. Soc. Japan, <\/span><span class=\"tp_pub_additional_volume\">vol. 48, <\/span><span class=\"tp_pub_additional_number\">no. 4, <\/span><span class=\"tp_pub_additional_pages\">pp. 769-795, <\/span><span class=\"tp_pub_additional_year\">1996<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_30\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('30','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_30\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('30','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_30\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('30','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_30\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{21,<br \/>\r\ntitle = {Transverse structure of Lie foliations},<br \/>\r\nauthor = {B. Herrerra. M. Llabr\u00e9s, A.Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/J.Soc_.Math-Japan.pdf},<br \/>\r\nyear  = {1996},<br \/>\r\ndate = {1996-06-11},<br \/>\r\nurldate = {1996-06-11},<br \/>\r\njournal = {J. Math. Soc. Japan},<br \/>\r\nvolume = {48},<br \/>\r\nnumber = {4},<br \/>\r\npages = {769-795},<br \/>\r\nabstract = {This paper deals with the problem of the realization of a given Lie algebra as transverse algebra to a Lie foliation on a compact manifold.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('30','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_30\" style=\"display:none;\"><div class=\"tp_abstract_entry\">This paper deals with the problem of the realization of a given Lie algebra as transverse algebra to a Lie foliation on a compact manifold.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('30','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_30\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/J.Soc_.Math-Japan.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/J.Soc_.Math-Ja[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/J.Soc_.Math-Ja[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('30','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1991\">1991<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">E. Gallego, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('32','tp_links')\" style=\"cursor:pointer;\">Lie flows of codimension 3<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Transactions of the American Mathematical Society, <\/span><span class=\"tp_pub_additional_volume\">vol. 326, <\/span><span class=\"tp_pub_additional_number\">no. 2, <\/span><span class=\"tp_pub_additional_pages\">pp. 529-541, <\/span><span class=\"tp_pub_additional_year\">1991<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_32\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('32','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_32\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('32','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_32\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('32','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_32\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{23,<br \/>\r\ntitle = {Lie flows of codimension 3},<br \/>\r\nauthor = {E. Gallego, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/S0002-9947-1991-1005934-4.pdf},<br \/>\r\nyear  = {1991},<br \/>\r\ndate = {1991-06-11},<br \/>\r\nurldate = {1991-06-11},<br \/>\r\njournal = {Transactions of the American Mathematical Society},<br \/>\r\nvolume = {326},<br \/>\r\nnumber = {2},<br \/>\r\npages = {529-541},<br \/>\r\nabstract = {Given a Lie algebra G of dmension 3 is there a compact manifold endowed with a Lie flowtranverely modeled on G \udbff\udc93\udbff\udc94 \udbff\udc97\udbff\udc94\udbff\udc91\udbff\udc9c\udbff\udca8\udbff\udc9c\udbff\udc92 \udbff\udcbd ?\udbff\udca4 \udbff\udcbe \udbff\udc29 \udbff\udcbd \udbff\udc29 \udbff\udca2 \udbff\udca4 \udbff\udc97\udbff\udc95 \udbff\udc91\udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc93\udbff\udc96\udbff\udc91 \udbff\udc9d\udbff\udc93\udbff\udc94\udbff\udc97\udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udcb7 \udbff\udc9c\udbff\udc94\udbff\udcb7\udbff\udc98\udbff\udcb8\udbff\udc9c\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc9a\udbff\udc9e\udbff\udc98\udbff\udcb8 \udbff\udc91\udbff\udc92\udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcbc\udbff\udc9c\udbff\udc92\udbff\udc95\udbff\udc9c\udbff\udc9e\udbff\udc9f \udbff\udc9d\udbff\udc98\udbff\udcb7\udbff\udc9c\udbff\udc9e\udbff\udc9c\udbff\udcb7 \udbff\udc98\udbff\udc94 \udbff\udcbf\udbff\udcb5 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d \udbff\udca6\udbff\udca1\udbff\udc91 \udbff\udc95\udbff\udc98\udbff\udc9d\udbff\udc9c \udbff\udcbd\udbff\udca1\udbff\udc9c\udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94\udbff\udc95 \udbff\udc92\udbff\udc9c\udbff\udc9d\udbff\udc93\udbff\udc97\udbff\udc94 \udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc9e\udbff\udc9e \udbff\udc98\udbff\udcba\udbff\udc9c\udbff\udc94 \udbff\udc33\udbff\udc96\udbff\udc9a\udbff\udcb3 \udbff\udcc0\udbff\udca3\udbff\udc34\udbff\udcae\udbff\udc9c \udbff\udc95\udbff\udc91\udbff\udca1\udbff\udcb7\udbff\udc9f \udbff\udc91\udbff\udc9b\udbff\udc9c \udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udc9e\udbff\udc98\udbff\udcb8\udbff\udc97\udbff\udc94\udbff\udca8 \udbff\udc92\udbff\udc9c\udbff\udc93\udbff\udc9e\udbff\udc97\udbff\udcb9\udbff\udc93\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d\udbff\udcbb \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c\udbff\udc94 \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udca2 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udc93\udbff\udc94 \udbff\udc97\udbff\udc94\udbff\udc91\udbff\udc9c\udbff\udca8\udbff\udc9c\udbff\udc92 \udbff\udcbd \udbff\udca4 \udbff\udcbe \udbff\udc29 \udbff\udcbd \udbff\udc29 \udbff\udca2 \udbff\udca4 \udbff\udc97\udbff\udc95 \udbff\udc91\udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc93\udbff\udc96\udbff\udc91 \udbff\udc9d\udbff\udc93\udbff\udc94\udbff\udc97\udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udcb7 \udbff\udc9c\udbff\udc94\udbff\udcb7\udbff\udc98\udbff\udcb8\udbff\udc9c\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc9a\udbff\udc9e\udbff\udc98\udbff\udcb8 \udbff\udc91\udbff\udc92\udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcbc\udbff\udc9c\udbff\udc92\udbff\udc95\udbff\udc9c\udbff\udc9e\udbff\udc9f \udbff\udc9d\udbff\udc98\udbff\udcb7\udbff\udc9c\udbff\udc9e\udbff\udc9c\udbff\udcb7 \udbff\udc98\udbff\udc94 \udbff\udcbf\udbff\udcb5 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 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\udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d \udbff\udca6\udbff\udca1\udbff\udc91 \udbff\udc95\udbff\udc98\udbff\udc9d\udbff\udc9c \udbff\udcbd\udbff\udca1\udbff\udc9c\udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94\udbff\udc95 \udbff\udc92\udbff\udc9c\udbff\udc9d\udbff\udc93\udbff\udc97\udbff\udc94 \udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc9e\udbff\udc9e \udbff\udc98\udbff\udcba\udbff\udc9c\udbff\udc94 \udbff\udc33\udbff\udc96\udbff\udc9a\udbff\udcb3 \udbff\udcc0\udbff\udca3\udbff\udc34\udbff\udcb3\udbff\udcae\udbff\udc9c \udbff\udc95\udbff\udc91\udbff\udca1\udbff\udcb7\udbff\udc9f \udbff\udc91\udbff\udc9b\udbff\udc9c \udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udc9e\udbff\udc98\udbff\udcb8\udbff\udc97\udbff\udc94\udbff\udca8 \udbff\udc92\udbff\udc9c\udbff\udc93\udbff\udc9e\udbff\udc97\udbff\udcb9\udbff\udc93\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d\udbff\udcbb \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c\udbff\udc94 \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udca2 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udc93\udbff\udc94 \udbff\udc97\udbff\udc94\udbff\udc91\udbff\udc9c\udbff\udca8\udbff\udc9c\udbff\udc92 \udbff\udcbd \udbff\udca4 \udbff\udcbe \udbff\udc29 \udbff\udcbd \udbff\udc29 \udbff\udca2 \udbff\udca4 \udbff\udc97\udbff\udc95 \udbff\udc91\udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc93\udbff\udc96\udbff\udc91 \udbff\udc9d\udbff\udc93\udbff\udc94\udbff\udc97\udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udcb7 \udbff\udc9c\udbff\udc94\udbff\udcb7\udbff\udc98\udbff\udcb8\udbff\udc9c\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc9a\udbff\udc9e\udbff\udc98\udbff\udcb8 \udbff\udc91\udbff\udc92\udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcbc\udbff\udc9c\udbff\udc92\udbff\udc95\udbff\udc9c\udbff\udc9e\udbff\udc9f \udbff\udc9d\udbff\udc98\udbff\udcb7\udbff\udc9c\udbff\udc9e\udbff\udc9c\udbff\udcb7 \udbff\udc98\udbff\udc94 \udbff\udcbf\udbff\udcb5 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d \udbff\udca6\udbff\udca1\udbff\udc91 \udbff\udc95\udbff\udc98\udbff\udc9d\udbff\udc9c \udbff\udcbd\udbff\udca1\udbff\udc9c\udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94\udbff\udc95 \udbff\udc92\udbff\udc9c\udbff\udc9d\udbff\udc93\udbff\udc97\udbff\udc94 \udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc9e\udbff\udc9e \udbff\udc98\udbff\udcba\udbff\udc9c\udbff\udc94 \udbff\udc33\udbff\udc96\udbff\udc9a\udbff\udcb3 \udbff\udcc0\udbff\udca3\udbff\udc34\udbff\udcb3},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('32','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_32\" style=\"display:none;\"><div class=\"tp_abstract_entry\">Given a Lie algebra G of dmension 3 is there a compact manifold endowed with a Lie flowtranverely modeled on G \udbff\udc93\udbff\udc94 \udbff\udc97\udbff\udc94\udbff\udc91\udbff\udc9c\udbff\udca8\udbff\udc9c\udbff\udc92 \udbff\udcbd ?\udbff\udca4 \udbff\udcbe \udbff\udc29 \udbff\udcbd \udbff\udc29 \udbff\udca2 \udbff\udca4 \udbff\udc97\udbff\udc95 \udbff\udc91\udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc93\udbff\udc96\udbff\udc91 \udbff\udc9d\udbff\udc93\udbff\udc94\udbff\udc97\udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udcb7 \udbff\udc9c\udbff\udc94\udbff\udcb7\udbff\udc98\udbff\udcb8\udbff\udc9c\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc9a\udbff\udc9e\udbff\udc98\udbff\udcb8 \udbff\udc91\udbff\udc92\udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcbc\udbff\udc9c\udbff\udc92\udbff\udc95\udbff\udc9c\udbff\udc9e\udbff\udc9f \udbff\udc9d\udbff\udc98\udbff\udcb7\udbff\udc9c\udbff\udc9e\udbff\udc9c\udbff\udcb7 \udbff\udc98\udbff\udc94 \udbff\udcbf\udbff\udcb5 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d \udbff\udca6\udbff\udca1\udbff\udc91 \udbff\udc95\udbff\udc98\udbff\udc9d\udbff\udc9c \udbff\udcbd\udbff\udca1\udbff\udc9c\udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94\udbff\udc95 \udbff\udc92\udbff\udc9c\udbff\udc9d\udbff\udc93\udbff\udc97\udbff\udc94 \udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc9e\udbff\udc9e 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\udbff\udc9a\udbff\udc9e\udbff\udc98\udbff\udcb8 \udbff\udc91\udbff\udc92\udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcbc\udbff\udc9c\udbff\udc92\udbff\udc95\udbff\udc9c\udbff\udc9e\udbff\udc9f \udbff\udc9d\udbff\udc98\udbff\udcb7\udbff\udc9c\udbff\udc9e\udbff\udc9c\udbff\udcb7 \udbff\udc98\udbff\udc94 \udbff\udcbf\udbff\udcb5 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d \udbff\udca6\udbff\udca1\udbff\udc91 \udbff\udc95\udbff\udc98\udbff\udc9d\udbff\udc9c \udbff\udcbd\udbff\udca1\udbff\udc9c\udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94\udbff\udc95 \udbff\udc92\udbff\udc9c\udbff\udc9d\udbff\udc93\udbff\udc97\udbff\udc94 \udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc9e\udbff\udc9e \udbff\udc98\udbff\udcba\udbff\udc9c\udbff\udc94 \udbff\udc33\udbff\udc96\udbff\udc9a\udbff\udcb3 \udbff\udcc0\udbff\udca3\udbff\udc34\udbff\udcb3\udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udc93\udbff\udc94 \udbff\udc97\udbff\udc94\udbff\udc91\udbff\udc9c\udbff\udca8\udbff\udc9c\udbff\udc92 \udbff\udcbd \udbff\udca4 \udbff\udcbe \udbff\udc29 \udbff\udcbd \udbff\udc29 \udbff\udca2 \udbff\udca4 \udbff\udc97\udbff\udc95 \udbff\udc91\udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc93\udbff\udc96\udbff\udc91 \udbff\udc9d\udbff\udc93\udbff\udc94\udbff\udc97\udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udcb7 \udbff\udc9c\udbff\udc94\udbff\udcb7\udbff\udc98\udbff\udcb8\udbff\udc9c\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc9a\udbff\udc9e\udbff\udc98\udbff\udcb8 \udbff\udc91\udbff\udc92\udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcbc\udbff\udc9c\udbff\udc92\udbff\udc95\udbff\udc9c\udbff\udc9e\udbff\udc9f \udbff\udc9d\udbff\udc98\udbff\udcb7\udbff\udc9c\udbff\udc9e\udbff\udc9c\udbff\udcb7 \udbff\udc98\udbff\udc94 \udbff\udcbf\udbff\udcb5 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d \udbff\udca6\udbff\udca1\udbff\udc91 \udbff\udc95\udbff\udc98\udbff\udc9d\udbff\udc9c \udbff\udcbd\udbff\udca1\udbff\udc9c\udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94\udbff\udc95 \udbff\udc92\udbff\udc9c\udbff\udc9d\udbff\udc93\udbff\udc97\udbff\udc94 \udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc9e\udbff\udc9e \udbff\udc98\udbff\udcba\udbff\udc9c\udbff\udc94 \udbff\udc33\udbff\udc96\udbff\udc9a\udbff\udcb3 \udbff\udcc0\udbff\udca3\udbff\udc34\udbff\udcb3\udbff\udcae\udbff\udc9c \udbff\udc95\udbff\udc91\udbff\udca1\udbff\udcb7\udbff\udc9f \udbff\udc91\udbff\udc9b\udbff\udc9c \udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udc9e\udbff\udc98\udbff\udcb8\udbff\udc97\udbff\udc94\udbff\udca8 \udbff\udc92\udbff\udc9c\udbff\udc93\udbff\udc9e\udbff\udc97\udbff\udcb9\udbff\udc93\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d\udbff\udcbb \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c\udbff\udc94 \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udca2 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udc93\udbff\udc94 \udbff\udc97\udbff\udc94\udbff\udc91\udbff\udc9c\udbff\udca8\udbff\udc9c\udbff\udc92 \udbff\udcbd \udbff\udca4 \udbff\udcbe \udbff\udc29 \udbff\udcbd \udbff\udc29 \udbff\udca2 \udbff\udca4 \udbff\udc97\udbff\udc95 \udbff\udc91\udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc93\udbff\udc96\udbff\udc91 \udbff\udc9d\udbff\udc93\udbff\udc94\udbff\udc97\udbff\udc9a\udbff\udc98\udbff\udc9e\udbff\udcb7 \udbff\udc9c\udbff\udc94\udbff\udcb7\udbff\udc98\udbff\udcb8\udbff\udc9c\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc93 \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc9a\udbff\udc9e\udbff\udc98\udbff\udcb8 \udbff\udc91\udbff\udc92\udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcbc\udbff\udc9c\udbff\udc92\udbff\udc95\udbff\udc9c\udbff\udc9e\udbff\udc9f \udbff\udc9d\udbff\udc98\udbff\udcb7\udbff\udc9c\udbff\udc9e\udbff\udc9c\udbff\udcb7 \udbff\udc98\udbff\udc94 \udbff\udcbf\udbff\udcb5 \udbff\udc93\udbff\udc94\udbff\udcb7 \udbff\udcb8\udbff\udc97\udbff\udc91\udbff\udc9b \udbff\udc95\udbff\udc91\udbff\udc92\udbff\udca1\udbff\udc96\udbff\udc91\udbff\udca1\udbff\udc92\udbff\udc93\udbff\udc9e \udbff\udcab\udbff\udc97\udbff\udc9c \udbff\udc93\udbff\udc9e\udbff\udca8\udbff\udc9c\udbff\udca6\udbff\udc92\udbff\udc93 \udbff\udc98\udbff\udc9a \udbff\udcb7\udbff\udc97\udbff\udc9d\udbff\udc9c\udbff\udc94\udbff\udc95\udbff\udc97\udbff\udc98\udbff\udc94 \udbff\udcbd \udbff\udc23 \udbff\udcae\udbff\udc9c \udbff\udca8\udbff\udc97\udbff\udcbc\udbff\udc9c \udbff\udc9b\udbff\udc9c\udbff\udc92\udbff\udc9c \udbff\udc93 \udbff\udcbd\udbff\udca1\udbff\udc97\udbff\udc91\udbff\udc9c \udbff\udc96\udbff\udc98\udbff\udc9d\udbff\udcba\udbff\udc9e\udbff\udc9c\udbff\udc91\udbff\udc9c \udbff\udc93\udbff\udc94\udbff\udc95\udbff\udcb8\udbff\udc9c\udbff\udc92 \udbff\udc91\udbff\udc98 \udbff\udc91\udbff\udc9b\udbff\udc97\udbff\udc95 \udbff\udcba\udbff\udc92\udbff\udc98\udbff\udca6\udbff\udc9e\udbff\udc9c\udbff\udc9d \udbff\udca6\udbff\udca1\udbff\udc91 \udbff\udc95\udbff\udc98\udbff\udc9d\udbff\udc9c \udbff\udcbd\udbff\udca1\udbff\udc9c\udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc98\udbff\udc94\udbff\udc95 \udbff\udc92\udbff\udc9c\udbff\udc9d\udbff\udc93\udbff\udc97\udbff\udc94 \udbff\udc95\udbff\udc91\udbff\udc97\udbff\udc9e\udbff\udc9e \udbff\udc98\udbff\udcba\udbff\udc9c\udbff\udc94 \udbff\udc33\udbff\udc96\udbff\udc9a\udbff\udcb3 \udbff\udcc0\udbff\udca3\udbff\udc34\udbff\udcb3<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('32','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_32\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/S0002-9947-1991-1005934-4.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/S0002-9947-199[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/S0002-9947-199[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('32','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1989\">1989<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">E . Gallego, L . Gualandri, G . Hector, A . Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('89','tp_links')\" style=\"cursor:pointer;\">Groupo\u00efdes Riemanniens<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Pub. Mat. UAB, <\/span><span class=\"tp_pub_additional_volume\">vol. 33, <\/span><span class=\"tp_pub_additional_pages\">pp. 417-422, <\/span><span class=\"tp_pub_additional_year\">1989<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_89\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('89','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_89\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('89','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_89\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {Groupo\u00efdes Riemanniens},<br \/>\r\nauthor = {E . Gallego, L . Gualandri, G . Hector, A . Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/37597-Text-de-larticle-37564-1-10-20060428.pdf},<br \/>\r\nyear  = {1989},<br \/>\r\ndate = {1989-06-01},<br \/>\r\nurldate = {1989-06-01},<br \/>\r\njournal = {Pub. Mat. UAB},<br \/>\r\nvolume = {33},<br \/>\r\npages = {417-422},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('89','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_89\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/37597-Text-de-larticle-37564-1-10-20060428.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/37597-Text-de-[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/37597-Text-de-[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('89','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1988\">1988<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">M. Llabr\u00e9s, A.Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('31','tp_links')\" style=\"cursor:pointer;\">Unimodular Lie foliations<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Annales de la Facult\u00e9 de Sciences de Toulouse, <\/span><span class=\"tp_pub_additional_volume\">vol. 9, <\/span><span class=\"tp_pub_additional_number\">no. 2, <\/span><span class=\"tp_pub_additional_pages\">pp. 243-255, <\/span><span class=\"tp_pub_additional_year\">1988<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_31\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('31','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_31\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('31','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_31\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{22,<br \/>\r\ntitle = {Unimodular Lie foliations},<br \/>\r\nauthor = {M. Llabr\u00e9s, A.Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/UnimodulatLieFoliations.pdf},<br \/>\r\nyear  = {1988},<br \/>\r\ndate = {1988-05-11},<br \/>\r\nurldate = {1988-05-11},<br \/>\r\njournal = {Annales de la Facult\u00e9 de Sciences de Toulouse},<br \/>\r\nvolume = {9},<br \/>\r\nnumber = {2},<br \/>\r\npages = {243-255},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('31','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_31\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/UnimodulatLieFoliations.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/UnimodulatLieF[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/UnimodulatLieF[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('31','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">Eduard Gallego, Agust\u00ed Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('3','tp_links')\" style=\"cursor:pointer;\">Courbure et champs de plans<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">C.R.A.S.P., <\/span><span class=\"tp_pub_additional_volume\">vol. 306, <\/span><span class=\"tp_pub_additional_pages\">pp. 675-679, <\/span><span class=\"tp_pub_additional_year\">1988<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_3\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('3','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_3\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('3','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_3\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('3','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_3\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{Gallego1988,<br \/>\r\ntitle = {Courbure et champs de plans},<br \/>\r\nauthor = {Eduard Gallego, Agust\u00ed Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/crasp.pdf},<br \/>\r\nyear  = {1988},<br \/>\r\ndate = {1988-01-01},<br \/>\r\nurldate = {1988-01-01},<br \/>\r\njournal = {C.R.A.S.P.},<br \/>\r\nvolume = {306},<br \/>\r\npages = {675-679},<br \/>\r\nabstract = {Soit M une vari\u00e9t\u00e9 riemanniene orient\u00e9e munie de deux champs de plans F et H orient\u00e9s, orthogonaux et compl\u00e9mentaires l\u2019un de l\u2019autre.<br \/>\r\nSuivant Albert ([1]) on obtient quelques formules int\u00e9grales donnant des relations entre la g\u00e9om\u00e9trie de la vari\u00e9t\u00e9 d\u2019une part, et celle des champs de plans (courbure, int\u00e9grabilit\u00e9 et deuxi\u00e8me forme fondamentale), d\u2019autre part.<br \/>\r\nOn generalise un resultat de [3] a codimension arbitraire et sans hypoth\u00e8se d\u2019int\u00e9grabilit \u00e9.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('3','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_3\" style=\"display:none;\"><div class=\"tp_abstract_entry\">Soit M une vari\u00e9t\u00e9 riemanniene orient\u00e9e munie de deux champs de plans F et H orient\u00e9s, orthogonaux et compl\u00e9mentaires l\u2019un de l\u2019autre.<br \/>\r\nSuivant Albert ([1]) on obtient quelques formules int\u00e9grales donnant des relations entre la g\u00e9om\u00e9trie de la vari\u00e9t\u00e9 d\u2019une part, et celle des champs de plans (courbure, int\u00e9grabilit\u00e9 et deuxi\u00e8me forme fondamentale), d\u2019autre part.<br \/>\r\nOn generalise un resultat de [3] a codimension arbitraire et sans hypoth\u00e8se d\u2019int\u00e9grabilit \u00e9.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('3','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_3\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/crasp.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/crasp.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2018\/10\/crasp.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('3','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1985\">1985<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">Eduard Gallego, Agust\u00ed Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('1','tp_links')\" style=\"cursor:pointer;\">ASYMPTOTIC BEHAVIOR OF CONVEX SETS IN THE HYPERBOLIC PLANE<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Journal of Differential Geometry, <\/span><span class=\"tp_pub_additional_volume\">vol. 21, <\/span><span class=\"tp_pub_additional_pages\">pp. 63-72, <\/span><span class=\"tp_pub_additional_year\">1985<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_1\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('1','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_1\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('1','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_1\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{Gallego1985,<br \/>\r\ntitle = {ASYMPTOTIC BEHAVIOR OF CONVEX SETS IN THE HYPERBOLIC PLANE},<br \/>\r\nauthor = {Eduard Gallego, Agust\u00ed Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/jdg\/},<br \/>\r\nyear  = {1985},<br \/>\r\ndate = {1985-02-04},<br \/>\r\njournal = {Journal of Differential Geometry},<br \/>\r\nvolume = {21},<br \/>\r\npages = {63-72},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('1','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_1\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-globe\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/jdg\/\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/jdg\/\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/jdg\/<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('1','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1984\">1984<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">M. Nicolau, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('33','tp_links')\" style=\"cursor:pointer;\">On some geometrical properties of Seifert bundles<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Israel Journal of Mathematics, <\/span><span class=\"tp_pub_additional_volume\">vol. 47, <\/span><span class=\"tp_pub_additional_number\">no. 4, <\/span><span class=\"tp_pub_additional_pages\">pp. 323-334, <\/span><span class=\"tp_pub_additional_year\">1984<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_33\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('33','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_33\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('33','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_33\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('33','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_33\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{24,<br \/>\r\ntitle = {On some geometrical properties of Seifert bundles},<br \/>\r\nauthor = {M. Nicolau, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/onsomegeometrical.pdf},<br \/>\r\nyear  = {1984},<br \/>\r\ndate = {1984-06-11},<br \/>\r\nurldate = {1984-06-11},<br \/>\r\njournal = {Israel Journal of Mathematics},<br \/>\r\nvolume = {47},<br \/>\r\nnumber = {4},<br \/>\r\npages = {323-334},<br \/>\r\nabstract = {In this paper we use the integration along the leaves introduced by Haefliger in 1980to obtain a differentiable version of the Gysin sequence and Euler class for compact Hausdorff orientable foliations with generic leaf the sphere Sp. From this we give a geometrical significance to the vanishing of the Euler class on Seifert bundles. We also obtain an integral formula on Seifert bundles similar to<br \/>\r\nthe Gauss-Bonnet one.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('33','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_33\" style=\"display:none;\"><div class=\"tp_abstract_entry\">In this paper we use the integration along the leaves introduced by Haefliger in 1980to obtain a differentiable version of the Gysin sequence and Euler class for compact Hausdorff orientable foliations with generic leaf the sphere Sp. From this we give a geometrical significance to the vanishing of the Euler class on Seifert bundles. We also obtain an integral formula on Seifert bundles similar to<br \/>\r\nthe Gauss-Bonnet one.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('33','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_33\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/onsomegeometrical.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/onsomegeometri[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/onsomegeometri[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('33','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1982\">1982<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Llibre, A. Revent\u00f3s <\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('93','tp_links')\" style=\"cursor:pointer;\">On the structure of the set of periodic points of a continuous map of the interval<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Archiv der Mathematik, <\/span><span class=\"tp_pub_additional_volume\">vol. 39, <\/span><span class=\"tp_pub_additional_pages\">pp. 331-334, <\/span><span class=\"tp_pub_additional_year\">1982<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_93\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('93','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_93\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('93','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_93\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {On the structure of the set of periodic points of a continuous map of the interval},<br \/>\r\nauthor = {J. Llibre, A. Revent\u00f3s },<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/cover.pdf},<br \/>\r\nyear  = {1982},<br \/>\r\ndate = {1982-10-10},<br \/>\r\nurldate = {1982-10-10},<br \/>\r\njournal = {Archiv der Mathematik},<br \/>\r\nvolume = {39},<br \/>\r\npages = {331-334},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('93','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_93\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/cover.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/cover.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/cover.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('93','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J.Llibre, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('91','tp_links')\" style=\"cursor:pointer;\">Sur le nombre d\u2019orbites periodiques d\u2019une application du cercle en lui m\u00eame.<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Comptes Rendues Acad. Scien. Paris, <\/span><span class=\"tp_pub_additional_volume\">vol. 294, <\/span><span class=\"tp_pub_additional_pages\">pp. 51-54, <\/span><span class=\"tp_pub_additional_year\">1982<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_91\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('91','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_91\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('91','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_91\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {Sur le nombre d\u2019orbites periodiques d\u2019une application du cercle en lui m\u00eame.},<br \/>\r\nauthor = {J.Llibre, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Comptes_rendus_des_se\u0301ances_de_...Acade\u0301mie_des_bpt6k5533029f-1.pdf},<br \/>\r\nyear  = {1982},<br \/>\r\ndate = {1982-06-30},<br \/>\r\nurldate = {1982-06-30},<br \/>\r\njournal = {Comptes Rendues Acad. Scien. Paris},<br \/>\r\nvolume = {294},<br \/>\r\npages = {51-54},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('91','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_91\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Comptes_rendus_des_se\u0301ances_de_...Acade\u0301mie_des_bpt6k5533029f-1.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Comptes_rendus[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/Comptes_rendus[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('91','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">A. D\u00edaz MIranda, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('34','tp_links')\" style=\"cursor:pointer;\">Homogeneous contact compact manifolds and homogeneous symplectic manifolds<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Bulletin de la Soci\u00e9t\u00e9 Math\u00e9matique de France , <\/span><span class=\"tp_pub_additional_volume\">vol. 106, <\/span><span class=\"tp_pub_additional_pages\">pp. 337-350, <\/span><span class=\"tp_pub_additional_year\">1982<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_34\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('34','tp_abstract')\" title=\"Show abstract\" style=\"cursor:pointer;\">Abstract<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_34\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('34','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_34\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('34','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_34\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{25,<br \/>\r\ntitle = {Homogeneous contact compact manifolds and homogeneous symplectic manifolds},<br \/>\r\nauthor = {A. D\u00edaz MIranda, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/bulletinSciMath.pdf},<br \/>\r\nyear  = {1982},<br \/>\r\ndate = {1982-06-11},<br \/>\r\nurldate = {1982-06-11},<br \/>\r\njournal = {Bulletin de la Soci\u00e9t\u00e9 Math\u00e9matique de France },<br \/>\r\nvolume = {106},<br \/>\r\npages = {337-350},<br \/>\r\nabstract = {On montre que la fibration de Boothby et Wang donne une correspondance biejctive entre l'ensemble des vari\u00e9t\u00e9s compactes homog\u00e9nes de contact et c\u00e9lui des vari\u00e9t\u00e9s compactes symplectiques.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('34','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_34\" style=\"display:none;\"><div class=\"tp_abstract_entry\">On montre que la fibration de Boothby et Wang donne une correspondance biejctive entre l'ensemble des vari\u00e9t\u00e9s compactes homog\u00e9nes de contact et c\u00e9lui des vari\u00e9t\u00e9s compactes symplectiques.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('34','tp_abstract')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_34\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/bulletinSciMath.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/bulletinSciMat[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/bulletinSciMat[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('34','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J. Llibre, A. Revent\u00f3s<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('92','tp_links')\" style=\"cursor:pointer;\">On the number of fixed points for a continuous map of a finite connected graph<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Collectanea Mathematica, <\/span><span class=\"tp_pub_additional_volume\">vol. 32, <\/span><span class=\"tp_pub_additional_pages\">pp. 203-220, <\/span><span class=\"tp_pub_additional_year\">1982<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_92\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('92','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_92\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('92','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_92\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {On the number of fixed points for a continuous map of a finite connected graph},<br \/>\r\nauthor = {J. Llibre, A. Revent\u00f3s},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/COLLECTANEAMATHEMATICA_1981_32_03_02.pdf},<br \/>\r\nyear  = {1982},<br \/>\r\ndate = {1982-05-11},<br \/>\r\nurldate = {1982-05-11},<br \/>\r\njournal = {Collectanea Mathematica},<br \/>\r\nvolume = {32},<br \/>\r\npages = {203-220},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('92','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_92\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/COLLECTANEAMATHEMATICA_1981_32_03_02.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/COLLECTANEAMAT[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/COLLECTANEAMAT[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('92','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1980\">1980<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">J.Llibre, A. Revent\u00f3s <\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('94','tp_links')\" style=\"cursor:pointer;\">Sobre el nombre de punts fixos per a una apliaci\u00f3 d'un graf connex finit<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Pub. Mat. UAB, <\/span><span class=\"tp_pub_additional_volume\">vol. 21, <\/span><span class=\"tp_pub_additional_pages\">pp. 103-106, <\/span><span class=\"tp_pub_additional_year\">1980<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_94\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('94','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_94\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('94','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_94\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = {Sobre el nombre de punts fixos per a una apliaci\u00f3 d'un graf connex finit},<br \/>\r\nauthor = {J.Llibre, A. Revent\u00f3s },<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/puntsFixosGraf.pdf},<br \/>\r\nyear  = {1980},<br \/>\r\ndate = {1980-10-10},<br \/>\r\nurldate = {1980-10-10},<br \/>\r\njournal = {Pub. Mat. UAB},<br \/>\r\nvolume = {21},<br \/>\r\npages = {103-106},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('94','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_94\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/puntsFixosGraf.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/puntsFixosGraf[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/puntsFixosGraf[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('94','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">A. D\u00edaz-Miranda, A. Revent\u00f3s <\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('90','tp_links')\" style=\"cursor:pointer;\"> Homogeneous compact contact manifolds aand homogeneous symplectic manifolds<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">Pub. Mat. UAB, <\/span><span class=\"tp_pub_additional_volume\">vol. 21, <\/span><span class=\"tp_pub_additional_pages\">pp. 25-27, <\/span><span class=\"tp_pub_additional_year\">1980<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_90\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('90','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_90\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('90','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_90\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{nokey,<br \/>\r\ntitle = { Homogeneous compact contact manifolds aand homogeneous symplectic manifolds},<br \/>\r\nauthor = {A. D\u00edaz-Miranda, A. Revent\u00f3s },<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/homogeneous.pdf},<br \/>\r\nyear  = {1980},<br \/>\r\ndate = {1980-06-02},<br \/>\r\nurldate = {1980-06-02},<br \/>\r\njournal = {Pub. Mat. UAB},<br \/>\r\nvolume = {21},<br \/>\r\npages = {25-27},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('90','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_90\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/homogeneous.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/homogeneous.pd[...]\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2022\/01\/homogeneous.pd[...]<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('90','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><h3 class=\"tp_h3\" id=\"tp_h3_1979\">1979<\/h3><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">A. Revent\u00f3s\r\n<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" onclick=\"teachpress_pub_showhide('35','tp_links')\" style=\"cursor:pointer;\">On the Gauss Bonnet formula on odd dimensional manifolds<\/a> <span class=\"tp_pub_type tp_  article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">In: <\/span><span class=\"tp_pub_additional_journal\">T\u00f4hoku Mathematical Journal, <\/span><span class=\"tp_pub_additional_volume\">vol. 31, <\/span><span class=\"tp_pub_additional_pages\">pp. 165-178, <\/span><span class=\"tp_pub_additional_year\">1979<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_35\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('35','tp_links')\" title=\"Show links and resources\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_35\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('35','tp_bibtex')\" title=\"Show BibTeX entry\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_35\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{26,<br \/>\r\ntitle = {On the Gauss Bonnet formula on odd dimensional manifolds},<br \/>\r\nauthor = {A. Revent\u00f3s<br \/>\r\n},<br \/>\r\nurl = {http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Tohoku.pdf},<br \/>\r\nyear  = {1979},<br \/>\r\ndate = {1979-06-30},<br \/>\r\nurldate = {1979-06-30},<br \/>\r\njournal = {T\u00f4hoku Mathematical Journal},<br \/>\r\nvolume = {31},<br \/>\r\npages = {165-178},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('35','tp_bibtex')\">Close<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_35\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-file-pdf\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Tohoku.pdf\" title=\"http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Tohoku.pdf\" target=\"_blank\">http:\/\/mat.uab.cat\/web\/agusti\/wp-content\/uploads\/sites\/13\/2021\/12\/Tohoku.pdf<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('35','tp_links')\">Close<\/a><\/p><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Stuttgart 2004<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-16","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/pages\/16","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/comments?post=16"}],"version-history":[{"count":9,"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/pages\/16\/revisions"}],"predecessor-version":[{"id":1422,"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/pages\/16\/revisions\/1422"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/agusti\/wp-json\/wp\/v2\/media?parent=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}