Isometry-invariant geodesics on spheres

DOI10.1215/S0012-7094-88-05733-XzbMath0667.53038MaRDI QIDQ1117476

Nancy Hingston

Publication date: 1988

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

zbMATH Keywords

spheresisometriesgeneric metricsinvariant geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Non-closed isometry-invariant geodesics ⋮ Metrics with only finitely many 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

Cites Work

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• The rational homotopy theory of certain path spaces with applications to geodesics
• Closed geodesics on complete surfaces
• Closed geodesics and the fundamental group
• On the existence of infinitely many isometry-invariant geodesics
• On the number of invariant closed geodesics
• Contributions of rational homotopy theory to global problems in geometry
• Isometry-invariant geodesics
• Equivariant Morse theory and closed geodesics
• Generic properties of geodesic flows
• An Equivariant Model for the Free Loop Space of S N
• Geometry of the Katok examples

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