Some remarks on the generalized Myer’s theorems

Authors

  • Y. Soylu Giresun University

Keywords:

Bakry-Emery Ricci tensor, Index form, Myers-type theorem, Riccati inequality

Abstract

In this paper, firstly, we prove a generalization of Ambrose (or Myers) theorem for the Bakry-Emery Ricci tensor. Later, we improve previous diameter estimate obtained by Galloway for complete Riemannian manifolds. To obtain these results, we utilize the Riccati inequality and the index form of a minimizing unit speed geodesic segment, respectively.

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Published

2018-09-24

How to Cite

Soylu, Y. (2018). Some remarks on the generalized Myer’s theorems. International Journal of Maps in Mathematics, 1(2), 154–161. Retrieved from https://journalmim.com/index.php/journalMIM/article/view/16

Issue

Vol. 1 No. 2 (2018): International Journal of Maps in Mathematics

Section

Articles

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