Geodesic Flows Modelled by Expansive Flows

DOI10.1017/S0013091518000160zbMath1421.53084arXiv1703.07455OpenAlexW2963853127MaRDI QIDQ5228202

Katrin Gelfert, Rafael Oswaldo Ruggiero

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07455

zbMATH Keywords

conjugate pointsgeodesic flowfocal pointsmeasure of maximal entropyexpansive flowtime-preserving semi-conjugacy

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Geodesics in global differential geometry (53C22) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Measure-theoretic ergodic theory (28D99)

Related Items

Geodesic flows modeled by expansive flows: compact surfaces without conjugate points and continuous Green bundles, Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles, Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points, Properties of equilibrium states for geodesic flows over manifolds without focal points, Measures of maximal entropy for suspension flows over the full shift, On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points, Symbolic dynamics for non-uniformly hyperbolic systems, Beyond Bowen’s Specification Property

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