Quasi-local mass and uniqueness of isoperimetric surfaces in asymptotically hyperbolic manifolds
发布人: 曹思圆   发布时间: 2018-09-10   浏览次数: 10

主讲人: 史宇光 教授(北京大学) 
开始时间:2018-9-11(周二) 上午10:00-11:00

Quasi-local mass is a basic notion in General Relativity. Geometrically, it can be regarded as a geometric quantity of a boundary of a 3-dimensional compact Riemannian manifold. Usually, it is in terms of area and mean curvature of the boundary.  It is interesting to see that some of quasi-local masses, like Brown-York 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 Ads-Schwarzschilds 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 .