Ricci Curvature on Alexandrov spaces and Rigidity Theorems

Details Ricci Curvature on Alexandrov spaces and Rigidity Theorems Ricci Curvature on Alexandrov spaces and Rigidity Theorems

2009-12-16

arxiv.org/abs/0912.3190v4

Mathematics

Differential Geometry

final version

Scientific paper

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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