07-02【Lina Chen】Segment inequality and almost rigidity structures for integral Ricci curvature

Time:2021-06-15Views:37

Speaker:Lina Chen(Nanjing University)

Time:10:00-11:30 July 2, 2021

Room:C1124, Material Science Research Building(Section C)


  

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.