ON THE INTEGRABILITY OF INVARIANT HAMILTONIAN SYSTEMS WITH HOMOGENEOUS CONFIGURATION SPACES

DOI10.1070/SM1987v057n02ABEH003084zbMath0652.70012OpenAlexW1980988057MaRDI QIDQ3798317

I. V. Mikityuk

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1070/sm1987v057n02abeh003084

zbMATH Keywords

spherical subgroupssemi-simple groupsNoether integralsintegrability of G-invariant Hamiltonian flow

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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