January 1, 2009Annales de l’institut FourierOpen Access

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

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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.

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Cite This Study

Fang et al. (2009) studied this question.

synapsesocial.com/papers/6a7109f853da1ffdb507b318 https://doi.org/10.5802/aif.2440

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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.