Geometric Analysis and Mathematical General Relativity Seminar——De Rham Decomposition for Riemannian manifolds with boundary, Cartan-Ambrose-Hicks and Fundamental theorem for submanifolds
报告人:Prof. Chengjie Yu ( Shantou University )
时间:2020-4-13 14:30-16:30
地点:腾讯会议 (ID:663 375 984) (链接:https://meeting.tencent.com/s/5TRZ6Wdf79515)
Abstract:We will first talk about de Rham decomposition for Riemannian manifolds without boundary. In the course of proving the decomposition, we need a new form of Cartan-Ambrose-Hicks theorem. Finally, inspired by the new form of Cartan-Amrose-Hicks theorem, we have a generalization of the fundamental theorem for submanifolds which works for any ambient spaces.