Closed geodesics on a compact manifold

DOI10.1090/trans2/073/15zbMath0187.43303OpenAlexW4251486606MaRDI QIDQ5581224

Yakov G. Sinai

Publication date: 1968

Published in: Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/073/15

zbMATH Keywords

asymptotic behaviornumber of closed geodesicscompact manifold of negative curvature

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (5)

Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature ⋮ Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ. (Geodesic flow on manifolds of hyperbolic type) ⋮ Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups ⋮ Simple closed geodesics on regular tetrahedra in Lobachevsky space ⋮ Das Wachstum der Äquivalenzklassen geschlossener Geodätischer in kompakten Mannigfaltigkeiten

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