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Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. II

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Abstract

Haamiltonian systems of mechanical type are considered on a twisted cotangent stratification of a manifold admitting a smooth free torus action. In the case where these systems possess non-Poisson symmetries generated by the torus action, the Lee-Cartan reduction scheme is described and the structure of a reduced phase space and reduced Hamiltonians is clarified.

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Authors and Affiliations

  1. Kiev University, Kiev

    I. O. Parasyuk

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  1. I. O. Parasyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 904–914, July, 1994.

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Parasyuk, I.O. Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. II. Ukr Math J 46, 991–1002 (1994). https://doi.org/10.1007/BF01056676

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  • DOI: https://doi.org/10.1007/BF01056676

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