Noncommutative integrability on noncompact invariant manifolds

DOI10.1088/0305-4470/39/45/011zbMath1122.37042arXivmath/0604104OpenAlexW3101012243MaRDI QIDQ3419354

Emanuele Fiorani, Gennadi A. Sardanashvily

Publication date: 6 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604104

zbMATH Keywords

symplectic manifoldsgeneralization of the Mishchenko-Fomenko theoremnoncommutative completely integrable systems

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds ⋮ MOMENTUM MAPS, INDEPENDENT FIRST INTEGRALS AND INTEGRABILITY FOR CENTRAL POTENTIALS ⋮ SUPERINTEGRABLE HAMILTONIAN SYSTEMS WITH NONCOMPACT INVARIANT SUBMANIFOLDS: KEPLER SYSTEM ⋮ Unnamed Item ⋮ Globally superintegrable Hamiltonian systems ⋮ GEOMETRICAL ASPECTS OF INTEGRABLE SYSTEMS ⋮ TIME-DEPENDENT SUPERINTEGRABLE HAMILTONIAN SYSTEMS ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

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