Geometry of Poisson brackets and methods of Liouville integration of systems on symmetric spaces

DOI10.1007/BF01127019zbMath0664.58013OpenAlexW1965531411MaRDI QIDQ1114976

A. T. Fomenko, Valerij V. Trofimov

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01127019

zbMATH Keywords

Morse theorysymmetric spacesHamiltonian systemsLie algebrasnonintegrabilitycompletely integrable

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometry of symmetric spaces (53C35) Research exposition (monographs, survey articles) pertaining to global analysis (58-02)

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