6-25【刘宇航】Equivariant Differential Geometry and Generalized Rotational Hypersurfaces

发布时间:2026-06-22来源:几何与物理研究中心中文网页浏览次数:10

报告人:刘宇航(西交利物浦大学)

时间:2026年6月25日14:30-15:30  

地点:上海研究院新园区1号楼A座1329&腾讯会议:942 663 0176,密码:202501


  

In this talk, we first discuss basic concepts on smooth group actions on smooth manifolds, including orbit types, orbit space, cohomogeneity, etc. We will introduce smooth slice theorem to study local structures of orbits. Then we will move on to a special type of invariant submanifolds rotational hypersurfaces. We will discuss constant curvature problem on such hypersurfaces, including my recent work on rotational hypersurfaces with constan Gauss-Kronecker curvature, joint with my previous student Yunchu Dai. We will also talk about some open problems to be studied in the future, including hypersurfaces with more general types of group actions.


For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html