Generalizations of Bonnet-Myers theorem on Finsler manifolds

In this note, we generalize the Myers theorem on Finsler manifolds with four different curvature conditions. The first one is the ordinary Ricci curvature on Finsler manifolds. The second one is the mean Ricci curvature defined by the first author in [9]. The last two ones are the weighted Ricci curvatures which also play important roles in weighted Riemannian spaces. We also provide the generalized Myers theorem on weighted Riemannian manifolds. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

The paper generalizes the Myers theorem on Finsler manifolds with four different curvature conditions, and also provides the generalized Myers theorem on weighted Riemannian manifolds.