On a generic property of geodesic flows

DOI10.1007/BF01459728zbMath0813.53029OpenAlexW2075770622MaRDI QIDQ1318122

Hans-Bert Rademacher

Publication date: 28 May 1995

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

Full work available at URL: https://eudml.org/doc/165164

zbMATH Keywords

Poincaré mapclosed geodesicsprime closed geodesicsstrongly bumpy metric

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (13)

The second closed geodesic, the fundamental group, and generic Finsler metrics ⋮ Geodesic flows with positive topological entropy, twist maps and hyperbolicity ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ Simple closed geodesics in dimensions \(\geq 3\) ⋮ Unnamed Item ⋮ The type numbers of closed geodesics ⋮ The second closed geodesic on Finsler spheres of dimension 𝑛>2 ⋮ The Conley conjecture and beyond ⋮ Closed geodesics with local homology in maximal degree on non-compact manifolds ⋮ Homotopy groups of highly connected manifolds ⋮ Simple closed geodesics on most Alexandrov surfaces ⋮ Iterated index and the mean Euler characteristic ⋮ The \(C^0\) general density theorem for geodesic flows

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• Geometry of the Katok examples
• ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES

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