Strictly convex functions on complete Finsler manifolds

DOI10.1007/s12044-016-0307-2zbMath1377.53097OpenAlexW2527753172MaRDI QIDQ345696

Katsuhiro Shiohama, Yoe Itokawa, Bankteshwar Tiwari

Publication date: 2 December 2016

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-016-0307-2

zbMATH Keywords

geodesicsconvex functionsisometriesFinsler manifolds

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (2)

The Global Study of Riemannian-Finsler Geometry ⋮ Affine functions and Busemann functions on complete Finsler manifolds

Cites Work

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• A splitting theorem for Alexandrov spaces.
• Totally flat foliations and peakless functions
• Convex functions on complete noncompact manifolds: Topological structure
• A classification of Busemann G-surfaces which possess convex functions
• Topology of complete Finsler manifolds admitting convex functions
• On complete open manifolds of positive curvature
• On the structure of complete manifolds of nonnegative curvature
• Convex functions on complete noncompact manifolds : differentiable structure
• The isometry groups of riemannian manifolds admitting strictly convex functions

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