Ricci Curvature on Alexandrov spaces and Rigidity Theorems
Differential Geometry
2010-09-28 v4 Metric Geometry
Abstract
In this paper, we introduce a new notion for lower bounds of Ricci curvature on Alexandrov spaces, and extend Cheeger-Gromoll splitting theorem and Cheng's maximal diameter theorem to Alexandrov spaces under this Ricci curvature condition.
Keywords
Cite
@article{arxiv.0912.3190,
title = {Ricci Curvature on Alexandrov spaces and Rigidity Theorems},
author = {Hui-Chun Zhang and Xi-Ping Zhu},
journal= {arXiv preprint arXiv:0912.3190},
year = {2010}
}
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final version