Some rigidity theorems on Finsler manifolds

We prove that, for a Finsler manifold with the weighted Ricci curvature bounded below by a positive number, it is a Finsler sphere if and only if the diam attains its maximal value, if and only if the volume attains its maximal value, and if and only if the first closed eigenvalue of the Finsler-Lap...

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Bibliographic Details
Main Author: Songting Yin
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021184?viewType=HTML