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- W2057474080 abstract "Given a foliation S of a manifold M, a distribution Z in M transveral to S and a Poisson bivector Pi on M we present a geometric method of reducing this operator on the foliation S along the distribution Z. It encompasses the classical ideas of Dirac (Dirac reduction) and more modern theory of J. Marsden and T. Ratiu, but our method leads to formulas that allow for an explicit calculation of the reduced Poisson bracket. Moreover, we analyse the reduction of Hamiltonian systems corresponding to the bivector Pi." @default.
- W2057474080 created "2016-06-24" @default.
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- W2057474080 date "2005-06-01" @default.
- W2057474080 modified "2023-09-27" @default.
- W2057474080 title "Geometric reduction of Hamiltonian systems" @default.
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- W2057474080 doi "https://doi.org/10.1016/s0034-4877(05)80049-7" @default.
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