A Myers-type compactness theorem by the use of Bakry–Emery Ricci tensor

Yasemin Soylu

doi:10.1016/j.difgeo.2017.04.005

A Myers-type compactness theorem by the use of Bakry–Emery Ricci tensor

Yasemin Soylu

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https://doi.org/10.1016/j.difgeo.2017.04.005

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Journal: Differential Geometry and its Applications	Publication Date: May 3, 2017
Citations: 10

Affiliation: Giresun University

#Compactness Theorem #Cheeger Gromov + Show 3 more

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Abstract

Let (M,g) be a complete and connected Riemannian manifold of dimension n≥2. By using the Bakry–Emery Ricci curvature tensor on M, we prove a Myers-type compactness theorem which corresponds to the compactness theorem proved by Cheeger–Gromov–Taylor.

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