Invariant closed geodesics under isometries of prime power order

DOI10.2996/KMJ/1138833576zbMath0426.58007OpenAlexW1966672775MaRDI QIDQ3862127

Minoru Tanaka

Publication date: 1977

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138833576

zbMATH Keywords

indexnullitycharacteristic invariantisometry-invariant geodesic equivariant degenerate Morse theory

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

On the number of invariant closed geodesics

Cites Work

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• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Isometry-invariant geodesics
• Periodic geodesics on compact Riemannian manifolds
• On differentiable functions with isolated critical points
• Homologie singulière des espaces fibrés. Applications
• On the iteration of closed geodesics and the sturm intersection theory
• Involution-invariant geodesics.
• On invariant closed geodesics under isometries

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