Mishchenko, A. S.; Fomenko, A. T. Symplectic Lie group actions. (English) Zbl 0439.58015 Algebraic topology, Proc. Symp., Aarhus 1978, Lect. Notes Math. 763, 504-538 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 22E70 Applications of Lie groups to the sciences; explicit representations 57S15 Compact Lie groups of differentiable transformations 70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics 74-XX Mechanics of deformable solids Keywords:symplectic group actions; reduced phase space; integrability of Hamiltonian systems; symplectic homogeneous spaces; rigid body; symplectic manifolds with Lie transformation groups; Hamiltonian systems with symmetries; noncommutative generalization of the Liouville integrability theorem; integrability of the equations of motion of rigid bodies Citations:Zbl 0408.00008; Zbl 0327.58005; Zbl 0396.58003; Zbl 0223.53028; Zbl 0186.580 PDFBibTeX XML