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arXiv · 0912.3190

Ricci Curvature on Alexandrov spaces and Rigidity Theorems

Hui-Chun Zhang·Xi-Ping Zhu
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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.

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Hui-Chun Zhang, Xi-Ping Zhu. 2010-09-26. Ricci Curvature on Alexandrov spaces and Rigidity Theorems. https://arxiv.org/abs/0912.3190

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