Comparison theorems on Riemannian-Finsler manifolds with curvature quartic decay and their applications

DOI10.1016/J.DIFGEO.2021.101762zbMath1470.53064OpenAlexW3157779180WikidataQ113877069 ScholiaQ113877069MaRDI QIDQ2041088

Bing Ye Wu

Publication date: 15 July 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101762

zbMATH Keywords

volumeMyers theoremfirst eigenvaluecurvature quartic decayRiemannian-Finsler manifold

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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• Relative volume comparison theorems in Finsler geometry and their applications
• Comparison theorems in Finsler geometry and their applications
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Volume comparison and its applications in Riemann-Finsler geometry
• Eigenvalue estimates for submanifolds with locally bounded mean curvature
• On Ricci curvature and geodesics
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• An extension of Bonnet-Myers theorem
• Volume form and its applications in Finsler geometry
• ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF 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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