Hyperbolic behaviour of geodesic flows on manifolds with no focal points

DOI10.1017/S0143385700001796zbMath0524.58035OpenAlexW2148294450MaRDI QIDQ3036348

Keith Burns

Publication date: 1983

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700001796

zbMATH Keywords

ergodicityLyapunov exponentsnonpositive curvaturenon-uniform hyperbolicityBernoulli flowergodicity of geodesic flowuniform visibility

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Ergodic geometry for non-elementary rank one manifolds, Approximate rigidity of the marked length spectrum, A system of one-dimensional balls with gravity, Properties of equilibrium states for geodesic flows over manifolds without focal points, Hopf-Tsuji-Sullivan dichotomy for quotients of Hadamard spaces with a rank one isometry, Geodesic Flows Modelled by Expansive Flows, Open problems and questions about geodesics

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