Geometric Analysis and Mathematical Relativity Seminar——The Weyl problem in warped product spaces and related topics
主 题: Geometric Analysis and Mathematical Relativity Seminar——The Weyl problem in warped product spaces and related topics
报告人: Zhizhang Wang (Fudan University)
时 间: 2018-03-21 14:30-16:30
地 点: Room 1365, Sciences Building No.1
Abstract: In this talk, we will concern the Weyl problem in warped product spaces and its application in the generalization of the quasi-local mass.
We will discuss the openness, the non uniqueness and the generalization of the definition of the Brown-York mass in the spatial Schwarzechild manifold. We also will concern the Lu-Miao’s local Penrose inequality and the work of Chen-Zhang for solving the rigidity of Lu-Miao’s inequality.
Meanwhile, the rigidity also raise a question about the uniqueness of the isometric embedded hypersurfaces with the same mean curvature which has been partially solved by Li-Miao-Wang.
