On the measures of maximal entropy for the geodesic flow

DOI10.1016/J.EXMATH.2005.02.002zbMath1093.37009OpenAlexW2063577160MaRDI QIDQ2486127

Abdelhamid Amroun

Publication date: 5 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.exmath.2005.02.002

zbMATH Keywords

PressureEntropyGeodesic flow

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Continuity properties of entropy
• Sur les variétés à courbure strictement positive
• The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
• On the topological entropy of geodesic flows
• Closed geodesic distribution for manifolds of non-positive curvature
• Topological pressure for geodesic flows

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