题目：Brown-York mass and compact manifolds with quasi-positive boundarydata

内容简介：In this talk, we will discuss the geometry of a compact threemanifold (Ω,g) with boundary and with nonnegative scalarcurvature.A previous result by Shi and Tam says that if the each boundarycomponent Σ of the boundary ofΩ has positive mean curvatureand positive Gaussian curvature, then the total mean curvature ofΣis no greater than the total mean curvature of Σwhen it isisometrically embedded in the Euclidean three space. This is equivalent tosay that the Brown-York mass of ΣinΩis nonnegative.Moreover, if the Brown-York mass is zero, then Ωis isometric toadomain in the Euclidean three space.In this talk, we will discuss the situation that the mean curvature ofΣis nonnegative and the Gaussian curvature of Σisnonnegative and is positive somewhere.This is a recent joint work with Yuguang Shi.

报告人：香港中文大学谭联辉  教授

时  间：2019年12月5日（周四）下午4：00始

地  点：南海楼224室

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信息科学技术学院

2019年12月3日