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math.DS2006★ 14 cited
Noncommutative integrability on noncompact invariant manifolds
E. Fiorani, G. Sardanashvily
The Mishchenko-Fomenko theorem on noncommutative integrability of Hamiltonian systems on a symplectic manifold is extended to the case of noncompact invariant submanifolds.
math.DS2002
The Liouville-Arnold-Nekhoroshev theorem for non-compact invariant manifolds
E. Fiorani, G. Giachetta, G. Sardanashvily
Under ceratin conditions, generalized action-angle coordinates can be introduced near non-compact invariant manifolds of completely and partially integrable Hamiltonian systems.