Two short closed geodesics on a sphere of odd dimension

DOI10.1007/s00526-023-02433-6OpenAlexW4318200477MaRDI QIDQ2682635

Hans-Bert Rademacher

Publication date: 1 February 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07896

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Cites Work

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• Two closed geodesics on compact simply connected bumpy Finsler manifolds
• Resonance for loop homology of spheres
• Bumpy metrics on spheres and minimal index growth
• The type numbers of closed geodesics
• Multiple closed geodesics on bumpy Finsler \(n\)-spheres
• Loop products and closed geodesics
• On the equivariant Morse chain complex of the space of closed curves
• On the average indices of closed geodesics
• A sphere theorem for non-reversible Finsler metrics
• Zermelo deformation of Finsler metrics by Killing vector fields
• A review of the index method in closed geodesic problem
• The second closed geodesic, the fundamental group, and generic Finsler metrics
• Equivariant Morse theory and closed geodesics
• The existence of two closed geodesics on every Finsler 2-sphere
• The second closed geodesic on Finsler spheres of dimension 𝑛>2
• String Topology in Dimensions Two and Three
• Two closed orbits for non-degenerate Reeb flows
• Geometry of the Katok examples
• Morse theory, closed geodesics, and the homology of free loop spaces
• Existence of closed geodesics on positively curved Finsler manifolds

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