Das Wachstum der Äquivalenzklassen geschlossener Geodätischer in kompakten Mannigfaltigkeiten

DOI10.1007/BF01192824zbMath0504.53041MaRDI QIDQ1836167

Gerhard Knieper

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

geodesic flowtopological entropyclosed geodesicsnonpositive curvature

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (13)

Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ. (Geodesic flow on manifolds of hyperbolic type) ⋮ Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds ⋮ Orbihedra of nonpositive curvature ⋮ Closed geodesics on surfaces without conjugate points ⋮ Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points ⋮ Growth of conjugacy classes of Schottky groups in higher rank symmetric spaces ⋮ Length spectrum of geodesic loops in manifolds of non-positive curvature ⋮ Conjugaison Géodésique en rang 1 ⋮ Counting closed geodesics in globally hyperbolic maximal compact AdS 3-manifolds ⋮ On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points ⋮ Symbolic dynamics for non-uniformly hyperbolic systems ⋮ Manifolds with non-positive curvature ⋮ The uniqueness of the maximal measure for geodesic flows on symmetric spaces of higher rank

Cites Work

• Topological entropy for geodesic flows
• Applications of ergodic theory to the investigation of manifolds of negative curvature
• Visibility manifolds
• Closed geodesics on a compact manifold
• Periodic Orbits for Hyperbolic Flows
• Unnamed Item

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