# Reduction of Poisson Manifolds

**Marsden, J. E. and T. S. Ratiu
**

*Lett. in Math. Phys.*, **11**, 161-170

### 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 redhuction to the Lie-Poisson bracket.