On the complete integrability of the geodesic flow of manifolds all of whose geodesics are closed

DOI10.1017/S0143385797086306zbMath0893.58045OpenAlexW2022776988MaRDI QIDQ4372060

Carlos Eduardo Durán

Publication date: 24 August 1998

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

Full work available at URL: https://doi.org/10.1017/s0143385797086306

zbMATH Keywords

periodic flowscompletely integrable geodesic flow

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) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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