Noncommutative integrability on noncompact invariant manifolds

E.Fiorani; G.Sardanashvily

Noncommutative integrability on noncompact invariant manifolds

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arxiv math/0604104 v4 pith:N4JTAAS6 submitted 2006-04-05 math.DS math-phmath.MP

E.Fiorani , G.Sardanashvily This is my paper · ORCID

classification math.DSmath-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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Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
math-ph 2025-07 unverdicted novelty 7.0 of 10

Develops sufficient conditions for Poisson reduction of generalized Hamiltonian torus actions to preserve integrability and applies them to open problems on Lie group doubles and flat-connection moduli spaces.

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