Title：Segment inequality and almost rigidity structures for integral Ricci curvature

Speaker：陈丽娜  （南京大学）

Time：2021年7月2日，周五， 上午  10:00-11:30 

Room：东区物质科研楼C1124

Abstract：We will show the Cheeger-Colding segment inequality for manifolds with integral Ricci curvature bound. By using this segment inequality, the almost rigidity structure results for integral Ricci curvature will be derived by a similar method as in \cite{CC1}. And the sharp H\older continuity result of \cite{CoN} holds in the limit space of manifolds with integral Ricci curvature bound.