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arxiv: math/0604104 · v4 · submitted 2006-04-05 · 🧮 math.DS · math-ph· math.MP

Noncommutative integrability on noncompact invariant manifolds

classification 🧮 math.DS math-phmath.MP
keywords integrabilityinvariantnoncommutativenoncompactcaseextendedhamiltonianmanifold
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The Mishchenko-Fomenko theorem on noncommutative integrability of Hamiltonian systems on a symplectic manifold is extended to the case of noncompact invariant submanifolds.

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Cited by 2 Pith papers

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    Develops sufficient conditions for integrable systems to descend under Poisson reductions of generalized Hamiltonian torus actions, with applications to systems on doubles of compact Lie groups and moduli spaces of fl...