Ricci curvature on Alexandrov spaces and rigidity theorems

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Abstract

is 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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APA

Zhang, H. C., & Zhu, X. P. (2010). Ricci curvature on Alexandrov spaces and rigidity theorems. Communications in Analysis and Geometry, 18(3), 503–553. https://doi.org/10.4310/CAG.2010.v18.n3.a4

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