Some Myers-Type Theorems and Comparison Theorems for Manifolds with Modified Ricci Curvature

Year 2021, Volume: 14 Issue: 1, 174 - 182, 15.04.2021

Issa A. Kaboye Mahamane Mahi Harouna Mahaman Bazanfaré

https://doi.org/10.36890/iejg.819887

Abstract

 In this paper we establish some new compactness criteria for complete Riemannian manifolds with Bakry-\'Emery Ricci curvature bounded below. These results improve or generalize previous ones obtained by H. Tadano [6], J. Wan [7], I.A. Kaboye and M. Bazanfar\'e [3]. We also prove a volume comparison theorem for such manifolds.

Keywords

Bakry-Emery Ricci curvature, Myers-type theorem, Modified mean curvature, volume comparison theorem

References

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