Noncommutative integrability on noncompact invariant manifolds

Abstract

The Mishchenko-Fomenko theorem on noncommutative integrability of Hamiltonian systems on a symplectic manifold is extended to the case of noncompact invariant submanifolds.

11 pages, accepted for publication in J.Phys. A

References in corpus (5)

• The Poincare'-Lyapounov-Nekhoroshev theorem
• The Liouville-Arnold-Nekhoroshev theorem for non-compact invariant manifolds
• Bi-Hamiltonian partially integrable systems
• Action-angle coordinates for time-dependent completely integrable Hamiltonian systems
• The Poincare'-Lyapounov-Nekhoroshev theorem for involutory systems of vector fields

Cited by in corpus (5)

• Symmetries and Integrability
• Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds
• Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler system
• Geometrical aspects of integrable systems
• Partially superintegrable systems on Poisson manifolds