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The Weyl problem in warped product spaces and related topics
时间  Datetime
2018-05-04 15:00 — 16:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
王志张
单位  Affiliation
复旦大学
邀请人  Host
来米加
报告摘要  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 Schwarzchild manifold. We also will concern the Lu-Miao’s local Penrose inequality and the work of Lu-Miao for solving the rigidity of their 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.