Yamabe invariants of asymptotical Poincaré-Einstein manifolds and its conformal boundary
发布时间：2023年05月24日
浏览次数：3568
发布者: Biao Ma
主讲人： 王志鑫（Michigan State University）
活动时间： 从 2023-06-01 10:00 到 11:00
场地： 北京国际数学研究中心，全斋全29教室
Abstract: A manifold is called Poincaré-Einstein if it has constant negative Ric curvature and admits a suitable compactification. As the framework for AdS/CFT correspondence, it has been intensively studied over the last thirty years. One guiding principle in this area is to understand the connection between the manifold and its conformal boundary, and in my talk I will show an inequality between Yamabe invariants in this direction and then generalize this to manifolds with a lower Ric curvature bound.
