Segment Inequality and Almost Rigidity Structures for Integral Ricci Curvature
Segment Inequality and Almost Rigidity Structures for Integral Ricci Curvature
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DOI：
10.1093/imrn/rnab065
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发表时间：
2020-10
影响因子：
1
通讯作者：
Linan Chen
中科院分区：
文献类型：
--
作者：
Linan Chen
我们将证明具有积分Ricci曲率界的流形的Cheeger-Colding线段不等式。利用这一分段不等式，用与文[1]类似的方法，得到了积分Ricci曲率的几乎刚性结构结果。文[7]的Hölder连续性定理在积分Ricci曲率有界的流形的极限空间中成立。
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 [1]. And the sharp Hölder continuity result of [7] holds in the limit space of manifolds with integral Ricci curvature bound.