Metrics with only finitely many isometry invariant geodesics

DOI10.1007/BF01442492zbMath0653.53027MaRDI QIDQ1107847

Hans-Bert Rademacher

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164560

zbMATH Keywords

isometrygeodesictopological invariantmetric invariantsf-invariant geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (4)

Non-closed isometry-invariant geodesics ⋮ On the multiplicity of isometry-invariant geodesics on product manifolds ⋮ Splitting lemmas for the Finsler energy functional on the space ofH¹-curves ⋮ On a generic property of geodesic flows

Cites Work

• On the average indices of closed geodesics
• Isometry-invariant geodesics on spheres
• The rational homotopy theory of certain path spaces with applications to geodesics
• On the existence of infinitely many isometry-invariant geodesics
• The homology theory of the closed geodesic problem
• Infinitesimal computations in topology
• On the number of invariant closed geodesics
• On the Gelfand-Fuks cohomology
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Isometry-invariant geodesics
• Generic properties of geodesic flows
• On the iteration of closed geodesics and the sturm intersection theory

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