Finsler spheres with constant flag curvature and finite orbits of prime closed geodesics

DOI10.2140/PJM.2019.302.353zbMath1482.53092arXiv1804.02565OpenAlexW2988490724WikidataQ126863327 ScholiaQ126863327MaRDI QIDQ2305375

Ming Xu

Publication date: 10 March 2020

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

Full work available at URL: https://arxiv.org/abs/1804.02565

zbMATH Keywords

fixed point settotally geodesic submanifoldRanders sphereconstant flag curvatureKatok metricorbit of closed geodesics

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ Geodesic orbit spheres and constant curvature in Finsler geometry

Cites Work

• Unnamed Item
• Two elliptic closed geodesics on positively curved Finsler spheres
• On a conjecture of Anosov
• The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds
• Clifford-Wolf translations of Finsler spaces
• Multiple closed geodesics on 3-spheres
• On the average indices of closed geodesics
• Projectively flat Finsler 2-spheres of constant curvature
• A sphere theorem for non-reversible Finsler metrics
• On homogeneous geodesics and weakly symmetric spaces
• On the existence of homogeneous geodesic in homogeneous Finsler spaces
• Zermelo navigation on Riemannian manifolds
• Geodesic orbit spheres and constant curvature in Finsler geometry
• Non-hyperbolic closed geodesics on Finsler spheres
• The existence of two closed geodesics on every Finsler 2-sphere

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