{"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":"2025-02-02T19:42:39","modified_gmt":"2025-02-02T17:42:39","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<ul class=\"wp-block-latest-posts__list wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/11\/10\/courant-algebroid-lifts-and-curved-courant-algebroids\/\">Courant algebroid lifts and curved Courant algebroids<\/a><div class=\"wp-block-latest-posts__post-excerpt\">Paper by F. Mou\u010dka and R. Rubio. 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, this lift produces a Courant-like structure that we call\u2026 <a class=\"wp-block-latest-posts__read-more\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/11\/10\/courant-algebroid-lifts-and-curved-courant-algebroids\/\" rel=\"noopener noreferrer\">Llegiu-ne m\u00e9s<span class=\"screen-reader-text\">: Courant algebroid lifts and curved Courant algebroids<\/span><\/a><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/08\/25\/symmetric-poisson-geometry-totally-geodesic-foliations-and-jacobi-jordan-algebras\/\">Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras<\/a><div class=\"wp-block-latest-posts__post-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\u2026 <a class=\"wp-block-latest-posts__read-more\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/08\/25\/symmetric-poisson-geometry-totally-geodesic-foliations-and-jacobi-jordan-algebras\/\" rel=\"noopener noreferrer\">Llegiu-ne m\u00e9s<span class=\"screen-reader-text\">: Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras<\/span><\/a><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/03\/29\/flat-generalized-connections-on-courant-algebroids\/\">Flat Generalized Connections on Courant Algebroids<\/a><div class=\"wp-block-latest-posts__post-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\u2026 <a class=\"wp-block-latest-posts__read-more\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/03\/29\/flat-generalized-connections-on-courant-algebroids\/\" rel=\"noopener noreferrer\">Llegiu-ne m\u00e9s<span class=\"screen-reader-text\">: Flat Generalized Connections on Courant Algebroids<\/span><\/a><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/01\/25\/symmetric-cartan-calculus-the-patterson-walker-metric-and-symmetric-cohomology\/\">Symmetric Cartan calculus, the Patterson-Walker metric and symmetric cohomology<\/a><div class=\"wp-block-latest-posts__post-excerpt\">Paper by F. Mou\u010dka and R. Rubio. Abstract: We 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\u2026 <a class=\"wp-block-latest-posts__read-more\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2025\/01\/25\/symmetric-cartan-calculus-the-patterson-walker-metric-and-symmetric-cohomology\/\" rel=\"noopener noreferrer\">Llegiu-ne m\u00e9s<span class=\"screen-reader-text\">: Symmetric Cartan calculus, the Patterson-Walker metric and symmetric cohomology<\/span><\/a><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/2024\/07\/02\/on-the-equivalence-of-generalized-ricci-curvatures\/\">On the Equivalence of Generalized Ricci Curvatures<\/a><div class=\"wp-block-latest-posts__post-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).<\/div><\/li>\n<\/ul>","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":2,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/pages\/438\/revisions"}],"predecessor-version":[{"id":447,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/pages\/438\/revisions\/447"}],"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}]}}