An estimate for the measure theoretic entropy of geodesic flows

DOI10.1017/S014338570000496XzbMath0707.58036MaRDI QIDQ3488915

Maciej P. Wojtkowski, Werner Ballmann

Publication date: 1989

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

zbMATH Keywords

geodesic flowmeasure theoretic entropy

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

The curvature and hyperbolicity of Hamiltonian systems ⋮ An estimate for the entropy of Hamiltonian flows ⋮ Unnamed Item ⋮ Almost maximal volume entropy ⋮ An estimate for the volume entropy of nonpositively curved graph-manifolds

Cites Work

• A new curvature invariant and entropy of geodesic flows
• On the entropy of the geodesic flow in manifolds without conjugate points
• Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

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