On total flexibility of local structures of Finsler tori without conjugate points

DOI10.1142/S1793525319500158zbMath1419.53048arXiv1310.7299MaRDI QIDQ4968729

Dong Chen

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/1310.7299

zbMATH Keywords

conjugate pointsFinsler geometryenveloping function

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)

Cites Work

• Boundary rigidity and filling volume minimality of metrics close to a flat one
• Riemannian tori without conjugate points are flat
• On the geodesic flow of tori without conjugate points
• On the structure of the stable norm of periodic metrics
• On tori without conjugate points
• Examples of Finsler metrics without conjugate points: Metrics of revolution
• On Finsler surfaces without conjugate points
• Closed Surfaces Without Conjugate Points

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