Generalizations of Bonnet-Myers theorem on Finsler manifolds

DOI10.1016/j.jmaa.2020.124712zbMath1459.53072OpenAlexW3097756121MaRDI QIDQ1995876

Bin Shen, Zisu Zhao

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124712

zbMATH Keywords

Ricci curvatureweighted Ricci curvaturemean Ricci curvatureBonnet-Myers theorem

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• Vanishing of Killing vector fields on compact Finsler manifolds
• On fundamental groups of Finsler manifolds
• A theorem of Myers
• Comparison geometry for the Bakry-Emery Ricci tensor
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Strongly and weakly affine vector fields on Finsler manifolds
• Frankel's refinement of Bochner's theorem on forward complete Finsler manifolds
• Finsler conformal Lichnerowicz-Obata conjecture
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• A sharp lower bound for the first eigenvalue on Finsler manifolds
• On Ricci curvature and geodesics
• An extension of Bonnet-Myers theorem
• SOME RESULTS ON FUNDAMENTAL GROUPS AND BETTI NUMBERS OF FINSLER MANIFOLDS
• Holomorphic Vanishing Theorems on Finsler Holomorphic Vector Bundles and Complex Finsler Manifolds
• A NOTE ON THE GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS
• ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE

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