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AN EXTENSION OF THE MARSDEN-RATIU REDUCTION FOR POISSON MANIFOLDS

By Fernando Falceto and Marco Zambon

Abstract

Abstract. We propose a generalization of the reduction of Poisson manifolds by distributions introduced by Marsden and Ratiu. Our proposal overcomes some of the restrictions of the original procedure, and makes the reduced Poisson structure effectively dependent on the distribution. Different applications are discussed, as well as the algebraic interpretation of the procedure and its formulation in terms of Dirac structures. 1

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