Ricci Curvature on Alexandrov spaces and Rigidity Theorems
classification
🧮 math.DG
math.MG
keywords
alexandrovcurvaturericcispacestheoremboundscheeger-gromollcheng
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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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