On the number of invariant closed geodesics

DOI10.1090/S0002-9904-1976-14072-4zbMath0325.58010OpenAlexW2068068354MaRDI QIDQ4089543

Minoru Tanaka, Karsten Grove

Publication date: 1976

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1976-14072-4

Mathematics Subject Classification ID

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

Related Items (5)

On the existence of infinitely many invariant Reeb orbits ⋮ On the multiplicity of isometry-invariant geodesics on product manifolds ⋮ The rational homotopy theory of certain path spaces with applications to geodesics ⋮ Isometry-invariant geodesics and the fundamental group. II. ⋮ On the number of invariant closed geodesics

Cites Work

• 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
• On the iteration of closed geodesics and the sturm intersection theory

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