{"id":631,"date":"2025-09-14T07:25:54","date_gmt":"2025-09-14T05:25:54","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=631"},"modified":"2025-09-14T07:25:54","modified_gmt":"2025-09-14T05:25:54","slug":"flat-generalized-connections","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2025\/09\/14\/flat-generalized-connections\/","title":{"rendered":"Flat Generalized Connections"},"content":{"rendered":"<p>16 Sep 2025. Talk by Jaime Pedregal\u00a0at the meeting of the Spanish Network of Geometry and Physics, Barcelona.<\/p>\n<p>Abstract: In differential geometry, flat spaces can be seen as the \u201csimplest\u201d objects. For instance, a flat Riemannian manifold is locally Euclidean not only smoothly, but geometrically. In the presence of skew-symmetric torsion, the situation seems a bit richer, in the sense that there are many models for flat spaces: compact simple Lie groups and the 7-sphere. In this talk, I will briefly describe the flat situation in generalized Riemannian geometry, a theory which contains and expands Riemannian geometry with skew-symmetric torsion.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>16 Sep 2025. Talk by Jaime Pedregal\u00a0at the meeting of the Spanish Network of Geometry and Physics, Barcelona. Abstract: In differential geometry, flat spaces can be seen as the \u201csimplest\u201d objects. For instance, a flat Riemannian manifold is locally Euclidean not only smoothly, but geometrically. In the presence of skew-symmetric torsion, the situation seems a [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32,26],"tags":[],"class_list":["post-631","post","type-post","status-publish","format-standard","hentry","category-pedregal","category-talks"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/631","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=631"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/631\/revisions"}],"predecessor-version":[{"id":632,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/631\/revisions\/632"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=631"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=631"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}