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(11月16日)几何分析讨论班第八次
来源: 陈黎   发布时间:2017-11-13   阅读次数:361

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

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