Extensions of Bonnet-Myers' type theorems with the Bakry-Emery Ricci curvature

Abstract

In this paper, we prove the extensions of Bonnet--Myers' type theorems obtained by Calabi and Cheeger--Gromov--Taylor via Bakry--Emery Ricci curvature, which generalize the results of FG, Lim1, Wan, Wang, WW, Wu.

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