Reduction of Poisson manifolds |
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| Authors: | Jerrold E Marsden Tudor Ratiu |
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| Institution: | (1) Department of Mathematics, University of California, 94720 Berkeley, CA, U.S.A.;(2) Department of Mathematics, University of Arizona, 85721 Tucson, AZ, U.S.A. |
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| Abstract: | Reduction in the category of Poisson manifolds is defined and some basic properties are derived. The context is chosen to include the usual theorems on reduction of symplectic manifolds, as well as results such as the Dirac bracket and the reduction to the Lie-Poisson bracket.Research supported by DOE contract DE-AT03-85ER 12097.Supported by an A. P. Sloan Foundation fellowship. |
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