(11月16日）几何分析讨论班第八次

题目：On Escobar-Yamabe compactifications of Poincare-Einstein manifolds

报告人：来米加（上海交通大学）

时间：11月16日（周四）上午10:30-11:30 

地点：工商楼4楼报告厅

摘要：In this talk, I will present a recent joint work with Xuezhang Chen and Fang Wang
on Poincare-Einstein manifolds. The main motivation comes from a recent work of Gursky-Han. 
We prove the rigidity part of their theorem and then we inspect second type Escobar-Yamabe 
compactification. It yields an inequality between the Yamabe constants of 
the compactification of a Poincare-Einstein manifold and its boundary. As a consequence, we give a 
simple proof of the rigidity theorem for Poincare-Einstein manifold with its conformal infinity 
being conformal equivalent to the standard sphere.

联系人： 王枫 （wfmath@zju.edu.cn）