(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)