The Bakry–Emery Ricci tensor and its applications to some compactness theorems

By M. Limoncu. 2012

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Let (M, g) be a complete and connected Riemannian manifold of dimension n. By using the Bakry–Emery Ricci curvature tensor on M, we prove two theorems which correspond to the Myers compactness theorem.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Biomedical Engineering

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