{"id":438,"date":"2025-02-02T19:23:05","date_gmt":"2025-02-02T17:23:05","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?page_id=438"},"modified":"2026-11-02T09:50:00","modified_gmt":"2026-11-02T07:50:00","slug":"papers","status":"publish","type":"page","link":"https:\/\/mat.uab.cat\/web\/gentle\/papers\/","title":{"rendered":"Papers"},"content":{"rendered":"<p>Here you can find our papers and preprints:<\/p>\n\n\n<div class=\"wp-block-query is-layout-flow wp-block-query-is-layout-flow\"><ul class=\"wp-block-post-template is-layout-flow wp-block-post-template-is-layout-flow\"><li class=\"wp-block-post post-896 post type-post status-publish format-standard hentry category-ariel category-papers category-rubio\">\n<h3 class=\"wp-block-post-title has-large-font-size\"><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/2026\/07\/20\/on-the-dirac-complement-problem\/\" target=\"_blank\" >On the Dirac complement problem<\/a><\/h3>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">Paper by T. Ariel, R. Rubio and M. Zambon. Abstract: The existence of a Dirac complement for a given Dirac structure is a central question in the structure theory of Courant algebroids and the deformation theory of Dirac structures. We study this problem in detail, proving the unobstructedness of lagrangian or local Dirac complements and&hellip; <\/p><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n<div class=\"wp-block-post-date\"><time datetime=\"2026-07-20T08:57:07+02:00\">20\/Jul\/2026<\/time><\/div>\n<\/li><li class=\"wp-block-post post-636 post type-post status-publish format-standard hentry category-papers\">\n<h3 class=\"wp-block-post-title has-large-font-size\"><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/11\/10\/courant-algebroid-lifts-and-curved-courant-algebroids\/\" target=\"_blank\" >Courant algebroid lifts and curved Courant algebroids<\/a><\/h3>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">Paper by F. Mou\u010dka and R. Rubio. To appear in Annals of Global Analysis and Geometry. Abstract: We introduce the Courant algebroid lift, a new construction that takes a Courant algebroid together with a vector bundle connection and produces, when the connection is flat in the image of the anchor, a Courant algebroid. In general,&hellip; <\/p><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n<div class=\"wp-block-post-date\"><time datetime=\"2025-11-10T07:36:13+02:00\">10\/Nov\/2025<\/time><\/div>\n<\/li><li class=\"wp-block-post post-605 post type-post status-publish format-standard hentry category-moucka category-papers category-rubio\">\n<h3 class=\"wp-block-post-title has-large-font-size\"><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/08\/25\/symmetric-poisson-geometry-totally-geodesic-foliations-and-jacobi-jordan-algebras\/\" target=\"_blank\" >Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras<\/a><\/h3>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">Paper by F. Mou\u010dka and R. Rubio. Abstract: We introduce symmetric Poisson structures as pairs consisting of a symmetric bivector field and a torsion-free connection satisfying an integrability condition analogous to that in usual Poisson geometry. Equivalent conditions in Poisson geometry have inequivalent analogues in symmetric Poisson geometry and we distinguish between symmetric and strong&hellip; <\/p><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n<div class=\"wp-block-post-date\"><time datetime=\"2025-08-25T11:06:29+02:00\">25\/Aug\/2025<\/time><\/div>\n<\/li><li class=\"wp-block-post post-513 post type-post status-publish format-standard hentry category-papers category-pedregal category-rubio\">\n<h3 class=\"wp-block-post-title has-large-font-size\"><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/03\/29\/flat-generalized-connections-on-courant-algebroids\/\" target=\"_blank\" >Flat Generalized Connections on Courant Algebroids<\/a><\/h3>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">Paper by G. Cavalcanti, J. Pedregal and R. Rubio. Selecta Math. (N.S.) 31 (2025), no. 5, article number 84, 34pp. Abstract: We consider a family of metric generalized connections on transitive Courant algebroids, which includes the canonical Levi-Civita connection, and study the flatness condition. We find that the building blocks for such flat transitive Courant&hellip; <\/p><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n<div class=\"wp-block-post-date\"><time datetime=\"2025-03-29T21:09:36+02:00\">29\/Mar\/2025<\/time><\/div>\n<\/li><li class=\"wp-block-post post-444 post type-post status-publish format-standard hentry category-moucka category-papers category-rubio\">\n<h3 class=\"wp-block-post-title has-large-font-size\"><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/01\/25\/symmetric-cartan-calculus-the-patterson-walker-metric-and-symmetric-cohomology\/\" target=\"_blank\" >Symmetric Cartan calculus, the Patterson-Walker metric and Killing vector fields<\/a><\/h3>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">Paper by F. Mou\u010dka and R. Rubio. Abstract:\u00a0We develop symmetric Cartan calculus, an analogue of classical Cartan calculus for symmetric differential forms. We first show that the analogue of the exterior derivative, the symmetric derivative, is not unique and its different choices are parametrized by torsion-free affine connections. We use a choice of symmetric derivative&hellip; <\/p><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n<div class=\"wp-block-post-date\"><time datetime=\"2025-01-25T19:31:06+02:00\">25\/Jan\/2025<\/time><\/div>\n<\/li><li class=\"wp-block-post post-442 post type-post status-publish format-standard hentry category-papers category-pedregal category-rubio\">\n<h3 class=\"wp-block-post-title has-large-font-size\"><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/2024\/07\/02\/on-the-equivalence-of-generalized-ricci-curvatures\/\" target=\"_blank\" >On the Equivalence of Generalized Ricci Curvatures<\/a><\/h3>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">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><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n<div class=\"wp-block-post-date\"><time datetime=\"2024-07-02T19:27:43+02:00\">2\/Jul\/2024<\/time><\/div>\n<\/li><li class=\"wp-block-post post-440 post type-post status-publish format-standard hentry category-papers category-rubio\">\n<h3 class=\"wp-block-post-title has-large-font-size\"><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/2024\/02\/26\/new-geometric-structures-on-3-manifolds-surgery-and-generalized-geometry-2\/\" target=\"_blank\" >New geometric structures on 3-manifolds: surgery and generalized geometry<\/a><\/h3>\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">Paper by J. Porti and R. Rubio. To appear in Advances in Mathematics. Abstract: Cosymplectic and normal almost contact structures are analogues of symplectic and complex structures that can be defined on 3-manifolds. Their existence imposes strong topological constraints. Generalized geometry offers a natural common generalization of these two structures: B3-generalized complex structures. We prove&hellip; <\/p><\/div>\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n<div class=\"wp-block-post-date\"><time datetime=\"2024-02-26T19:24:55+02:00\">26\/Feb\/2024<\/time><\/div>\n<\/li><\/ul><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Here you can find our papers and preprints:<\/p>\n","protected":false},"author":54,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-438","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/pages\/438","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/types\/page"}],"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=438"}],"version-history":[{"count":10,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/pages\/438\/revisions"}],"predecessor-version":[{"id":952,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/pages\/438\/revisions\/952"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}