On the topology of manifolds with completely integrable geodesic flows. II

DOI10.1016/0393-0440(94)90036-1zbMath0801.58037OpenAlexW2007033252MaRDI QIDQ1326567

Gabriel P. Paternain

Publication date: 29 November 1994

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(94)90036-1

zbMATH Keywords

entropyloop space homologyintegrable geodesic flows

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (10)

Non-integrability and chaos for natural Hamiltonian systems with a random potential ⋮ Bott‐integrable Reeb flows on 3‐manifolds ⋮ Integrable systems and group actions ⋮ Polynomial entropies and integrable Hamiltonian systems ⋮ Collection of problems proposed at International Conference on Variational Methods ⋮ Invariant fibrations of geodesic flows ⋮ Integrable geodesic flows on surfaces ⋮ Integrable geodesic flows on \(n\)-step nilmanifolds ⋮ Manifolds of infinite topological type with integrable geodesic flows ⋮ Vanishing of the entropy pseudonorm for certain integrable systems

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