On fundamental groups of Finsler manifolds

DOI10.1007/s11425-011-4233-6zbMath1239.53031OpenAlexW2267498050MaRDI QIDQ763672

Wei Zhao, Yi-Bing Shen

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4233-6

zbMATH Keywords

entropyfundamental groupquasi-isometryFinsler manifold

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Topological entropy (37B40) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (8)

SOME RESULTS ON FUNDAMENTAL GROUPS AND BETTI NUMBERS OF FINSLER MANIFOLDS ⋮ Comparison theorems in Finsler geometry with integral weighted Ricci curvature bounds and their applications ⋮ Unnamed Item ⋮ The topological entropy for autonomous Lagrangian systems on compact manifolds whose fundamental groups have exponential growth ⋮ Comparison theorems in Riemann-Finsler geometry with line radial integral curvature bounds and related results ⋮ ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS ⋮ Generalizations of Bonnet-Myers theorem on Finsler manifolds ⋮ Growth of fundamental group for Finsler manifolds with integral Ricci curvature bound

Cites Work

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• Gromov pre-compactness theorems for nonreversible Finsler manifolds
• Volume comparison and its applications in Riemann-Finsler geometry
• A sphere theorem for non-reversible Finsler metrics
• A note on the Gauss-Bonnet theorem for Finsler spaces
• The existence of harmonic maps from Finsler manifolds to Riemannian manifolds
• A note on curvature and fundamental group
• Growth of fundamental groups and isoembolic volume and diameter
• SOME RESULTS ON HARMONIC MAPS FOR FINSLER MANIFOLDS
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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