On invariant closed geodesics under isometries

DOI10.2996/kmj/1138847446zbMath0364.58014OpenAlexW2036094216MaRDI QIDQ4139348

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/1138847446

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global Riemannian geometry, including pinching (53C20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Invariant closed geodesics under isometries of prime power order, On the number of invariant closed geodesics, Splitting lemmas for the Finsler energy functional on the space ofH¹-curves

Cites Work

• Unnamed Item
• 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
• Involution-invariant geodesics.