RIGIDITY OF A FINSLER METRIC WITH BUSEMANN CONCAVITY

DOI10.17654/0972415X23002OpenAlexW4362559853MaRDI QIDQ6170183

Chang-Wan Kim

Publication date: 15 August 2023

Published in: JP Journal of Geometry and Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/0972415x23002

zbMATH Keywords

non-negative curvatureBerwald metricBusemann concave

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• The Binet-Legendre metric in Finsler geometry
• Curvature in Hilbert geometries
• Uniform convexity and smoothness, and their applications in Finsler geometry
• Sectional curvature-type conditions on metric spaces
• Rigidity of Busemann convex Finsler metrics
• Metric characterization of Berwald spaces of non-positive flag curvature
• Spaces with non-positive curvature
• Bonnet's theorem in two-dimensional G-spaces
• Self-Contracted Curves in Spaces With Weak Lower Curvature Bound
• Berwald spaces of bounded curvature are Riemannian

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