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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Format: | Article |
Language: | English |
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AIMS Press
2021-01-01
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Series: | AIMS Mathematics |
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Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021184?viewType=HTML |