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

Authors : Issa A. KABOYE, Mahamane Mahi HAROUNA, Mahaman BAZANFARÉ

Pages : 174-182

Doi:10.36890/iejg.819887

View : 8 | Download : 5

Publication Date : 2021-04-15

Article Type : Research Paper

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