{"id":442,"date":"2024-07-02T19:27:43","date_gmt":"2024-07-02T17:27:43","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=442"},"modified":"2025-09-10T07:17:24","modified_gmt":"2025-09-10T05:17:24","slug":"on-the-equivalence-of-generalized-ricci-curvatures","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2024\/07\/02\/on-the-equivalence-of-generalized-ricci-curvatures\/","title":{"rendered":"On the Equivalence of Generalized Ricci Curvatures"},"content":{"rendered":"<p>Paper by G. Cavalcanti, J. Pedregal and R. Rubio.<\/p>\n<p><a href=\"https:\/\/doi.org\/10.1090\/proc\/17165\" target=\"pams\">Proc. Amer. Math. Soc. 153 (2025), no. 6, 2639\u20132648.\u00a0<\/a><\/p>\n<p>Abstract: We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.<\/p>\n<p>Find it also on the <a href=\"https:\/\/arxiv.org\/abs\/2406.06695\">arXiv (2406.06695)<\/a>.<\/p>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.ams.org\/journals\/proc\/2025-153-06\/S0002-9939-2025-17165-9\/home.html\"><img loading=\"lazy\" decoding=\"async\" width=\"524\" height=\"857\" src=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2024\/07\/image-1.png\" alt=\"\" class=\"wp-image-533\" srcset=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2024\/07\/image-1.png 524w, https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2024\/07\/image-1-183x300.png 183w\" sizes=\"auto, (max-width: 524px) 100vw, 524px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Paper by G. Cavalcanti, J. Pedregal and R. Rubio. Proc. Amer. Math. Soc. 153 (2025), no. 6, 2639\u20132648.\u00a0 Abstract: We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric. Find it also on the arXiv (2406.06695).<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[51,32,34],"tags":[],"class_list":["post-442","post","type-post","status-publish","format-standard","hentry","category-papers","category-pedregal","category-rubio"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/442","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/users\/54"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/comments?post=442"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/442\/revisions"}],"predecessor-version":[{"id":620,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/442\/revisions\/620"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}