Affine functions and Busemann functions on complete Finsler manifolds

DOI10.1090/proc/15304zbMath1462.53063OpenAlexW3131669781MaRDI QIDQ5858396

Nobuhiro Innami, Yoe Itokawa, Tetsuya Nagano, Katsuhiro Shiohama

Publication date: 13 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15304

zbMATH Keywords

Minkowski spaceFinsler manifoldaffine functionsparallels

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (2)

Geodesic conjugacy for geodesically reversible Finsler metrics ⋮ Busemann Functions in Asymptotically Harmonic Finsler Manifolds

Cites Work

• Strictly convex functions on complete Finsler manifolds
• Peakless and monotone functions on G-spaces
• A splitting theorem for Alexandrov spaces.
• Convex functions on complete noncompact manifolds: Topological structure
• Differentiability of Busemann functions and total excess
• Affine functions on Alexandrov surfaces
• A classification of Busemann G-surfaces which possess convex functions
• Topology of complete Finsler manifolds admitting convex functions
• Convex functions on complete noncompact manifolds : differentiable structure
• Blaschke Finsler manifolds and actions of projective Randers changes on cut loci
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