Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds

DOI10.1090/S0002-9939-97-03895-1zbMath0885.58065OpenAlexW1723182265MaRDI QIDQ4372339

Gabriel P. Paternain

Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03895-1

zbMATH Keywords

geodesic flowtopological entropyloop space homology

Mathematics Subject Classification ID

Entropy in general topology (54C70) Geodesic flows in symplectic geometry and contact geometry (53D25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Lower complexity bounds for positive contactomorphisms ⋮ Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom ⋮ Filtered Hopf algebras and counting geodesic chords ⋮ Positive topological entropy of Reeb flows on spherizations ⋮ Differentiable structures with zero entropy on simply connected 4-manifolds

Cites Work

• Volume growth and entropy
• Homotopical effects of dilatation
• Elliptic spaces. II
• Contributions of rational homotopy theory to global problems in geometry
• Elliptic spaces
• On the topology of manifolds with completely integrable geodesic flows
• Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").
• TOPOLOGICAL ENTROPY VERSUS GEODESIC ENTROPY
• ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS
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