Relative volume comparison theorems in Finsler geometry and their applications

zbMath1300.53068MaRDI QIDQ464538

Bing Ye Wu

Publication date: 27 October 2014

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://bims.iranjournals.ir/article_491_62.html

zbMATH Keywords

fundamental groupFinsler manifoldfirst Betti numberextreme volume formGromov pre-compactness

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 (6)

Comparison theorems in Finsler geometry with integral weighted Ricci curvature bounds and their applications ⋮ Generalized Hardy Type and Caffarelli–Kohn–Nirenberg Type Inequalities on Finsler Manifolds ⋮ Volume growth of Finsler manifolds with integral Ricci curvature bound ⋮ Growth of fundamental group for Finsler manifolds with integral Ricci curvature bound ⋮ Comparison theorems on Riemannian-Finsler manifolds with curvature quartic decay and their applications ⋮ Comparison theorems on Riemannian–Finsler manifolds with curvature quadratic decay and their applications

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