Home >> Seminar 

Quasilocal mass and uniqueness of isoperimetric surfaces in asymptotically hyperbolic manifolds
史宇光 教授(北京大学)
Tuesday, September 11th, 2018, 10:00 AM 闵行数学楼402报告厅 

报告内容：
Quasilocal mass is a basic notion in General Relativity. Geometrically, it can be regarded as a geometric quantity of a boundary of a 3dimensional compact Riemannian manifold. Usually, it is in terms of area and mean curvature of the boundary. It is interesting to see that some of quasilocal masses, like BrownYork mass, Hawking mass and isoperimetric mass have deep relation with classical isoperimetric inequality in asymptotically flat (hyperbolic) manifolds. In this talk, I will discuss these relations and finally give an application in the uniqueness of isoperimetric surfaces in asymptotically AdsSchwarzschilds manifold with scalar curvature equation.pdf. This talk is based on my recent joint works with M.Echmair, O.Chodosh and my Ph.D student J. Zhu .



