Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ

DOI10.1007/BF01418743zbMath0219.53037MaRDI QIDQ2547053

Wilhelm Klingenberg

Publication date: 1971

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142105

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Geodesic Rigidity in Compact Nonpositively Curved Manifolds ⋮ Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ. (Geodesic flow on manifolds of hyperbolic type) ⋮ The trapping property of totally geodesic hyperplanes in Hadamard spaces ⋮ Geodesic flows modeled by expansive flows: compact surfaces without conjugate points and continuous Green bundles ⋮ Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points ⋮ Geodesic Flow in Certain Manifolds Without Conjugate Points ⋮ Topological entropy of minimal geodesics and volume growth on surfaces ⋮ Minimal rays on closed surfaces ⋮ Minimal geodesics ⋮ Quasi-minimizing surfaces in hyperbolic space ⋮ Compact quotients of homogeneous negatively curved Riemannian manifolds ⋮ On Lobatchewsky manifolds ⋮ Growth of Jacobi fields and divergence of geodesics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Finsler manifolds of negative flag curvature

Cites Work

• A note on curvature and fundamental group
• Compact Clifford-Klein forms of symmetric spaces
• Geodesic Instability
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