Fernando Falceto, Marco Zambon
An Extension of the Marsden-Ratiu Reduction for Poisson Manifolds
Preprint series:
ESI preprints
- MSC:
- 58F05 Hamiltonian and Lagrangian systems; symplectic geometry, See also {70Hxx, 81S10}
- 70H05 Hamilton's equations
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.
Keywords: Poisson manifolds, reduction