Grove-Shiohama type sphere theorem in Finsler geometry

zbMath1339.53070arXiv1302.6116MaRDI QIDQ902245

Kei-Ichi Kondo

Publication date: 7 January 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6116

zbMATH Keywords

Toponogov's comparison theoremfoward complete Finsler manifoldsphere theorem of Grove-Shiohama type

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (1)

Approximations of Lipschitz maps via immersions and differentiable exotic sphere theorems

Cites Work

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• Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I
• Radius sphere theorems for compact manifolds with radial curvature bounded below
• Curvature, diameter and Betti numbers
• A generalized sphere theorem
• Volume comparison and its applications in Riemann-Finsler geometry
• A sphere theorem for non-reversible Finsler metrics
• The cut locus and distance function from a closed subset of a Finsler manifold
• TOPOLOGY OF COMPLETE FINSLER MANIFOLDS WITH RADIAL FLAG CURVATURE BOUNDED BELOW

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