Abstract
A symplectic manifold is considered under the assumption that a smooth symplectic action of a commutative Lie group with compact coisotropic orbits is defined on it. The problem of existence of variables of the action-angle type is investigated with a view to giving a detailed description of flows in Hamiltonian systems with invariant Hamiltonians. We introduce the notion of a nonresonance symplectic structure for which the problem of recognition of resonance and nonresonance tori is solved.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 77–85, January, 1993.
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Parasyuk, I.O. Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori. Ukr Math J 45, 85–93 (1993). https://doi.org/10.1007/BF01062041
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DOI: https://doi.org/10.1007/BF01062041