Integration of geodesic flows on symmetric spaces

DOI10.1007/BF01158134zbMath0502.58020OpenAlexW1971279956WikidataQ125860343 ScholiaQ125860343MaRDI QIDQ1172857

A. S. Mishchenko

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158134

zbMATH Keywords

geodesic flowsemisimple Lie groupfirst integralsHamiltonian flowscompletely integrable in the classical sensecompletely integrable in the noncommutative senseglobally symmetric simply connected Riemannian manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) 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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (2)

Discrete geodesic flows on Stiefel manifolds ⋮ Invariant Nijenhuis tensors and integrable geodesic flows

Cites Work

• INTEGRABILITY OF THE EULER EQUATIONS ON HOMOGENEOUS SYMPLECTIC MANIFOLDS
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