Comparison theorems in Riemann-Finsler geometry with line radial integral curvature bounds and related results

DOI10.4134/JKMS.j180206zbMath1423.53093OpenAlexW2962911380MaRDI QIDQ5229377

Bing Ye Wu

Publication date: 15 August 2019

Full work available at URL: https://koreascience.or.kr:443/article/JAKO201912742274416.pdf

zbMATH Keywords

diameterfirst eigenvaluevolume comparison theoremextreme volume formGromov pre-compactnessHessian comparison theoremgeneralized Myers theoremline radial integral curvature boundRiemann-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)

Related Items (2)

Comparison theorems in Finsler geometry with integral weighted Ricci curvature bounds and their applications ⋮ Mckean-type Estimates for the First Eigenvalue of the p-Laplacian and (p,q)-Laplacian Operators on Finsler Manifolds

Cites Work

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• On fundamental groups of Finsler manifolds
• Comparison theorems in Finsler geometry and their applications
• Gromov pre-compactness theorems for nonreversible Finsler manifolds
• Volume comparison and its applications in Riemann-Finsler geometry
• Volume form and its applications in Finsler geometry
• ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS
• COMPARISON THEOREMS IN FINSLER GEOMETRY WITH WEIGHTED CURVATURE BOUNDS AND RELATED RESULTS
• A NOTE ON THE GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS

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