Segment inequality and almost rigidity structures for integral Ricci curvature
Differential Geometry
2021-12-20 v3
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.
Cite
@article{arxiv.2010.01269,
title = {Segment inequality and almost rigidity structures for integral Ricci curvature},
author = {Lina Chen},
journal= {arXiv preprint arXiv:2010.01269},
year = {2021}
}
Comments
17 pages