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

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

International Electronic Journal of Geometry
Volume:14 Issue:1
Some Myers-Type Theorems and Comparison Theorems for Manifolds with Modified Ricci Curvature

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 : 46 | Download : 13

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

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.