An extension of the Marsden-Ratiu reduction for Poisson manifolds

Details An extension of the Marsden-Ratiu reduction for Poisson manifolds An extension of the Marsden-Ratiu reduction for Poisson manifolds

2008-06-03

arxiv.org/abs/0806.0638v2

Lett.Math.Phys.85:203-219,2008

Mathematics

Symplectic Geometry

15 pages. Final version

Scientific paper

10.1007/s11005-008-0262-7

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.

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