ON SYMPLECTIC STRUCTURES AND INTEGRABLE SYSTEMS ON SYMMETRIC SPACES

DOI10.1070/SM1982V043N02ABEH002446zbMath0488.58010OpenAlexW1975372770MaRDI QIDQ3949696

A. T. Fomenko

Publication date: 1982

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1982v043n02abeh002446

zbMATH Keywords

Hamiltonian dynamical systemssections for linear representations of Lie algebrassymplectic structures on compact symmetric spaces

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lie algebras of Lie groups (22E60) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35) Geometric quantization (53D50) Lie algebras and Lie superalgebras (17B99)

Related Items (1)

Adler–Kostant–Symes construction, bi-Hamiltonian manifolds, and KdV equations

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