Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Émery Ricci curvature

2007/07/04 by Fuquan Fang, Fang, Fuquan, Xiang‐Dong Li +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0707.0526

openalex publication_date 2007/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-Émery Ricci curavture on complete Riemannian manifolds.

Cited by

• Some comparison results for one extension of the Bakry-Émery-Ricci tensor

Related

• An overview on the proof of the splitting theorem in non-smooth context
• Splitting theorems on complete manifolds with Bakry-Émery curvature
• A Spectral Splitting Theorem for the N-Bakry Émery Ricci tensor
• Some comparison results for one extension of the Bakry-Émery-Ricci tensor
• A topological splitting theorem for weighted Alexandrov spaces