Communications in Analysis and Geometry
Volume 18 (2010)
Ricci curvature on Alexandrov spaces and rigidity theorems
Pages: 503 – 553
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.