Poisson Reduction
Differential Geometry
2017-03-24 v6
Abstract
In this paper we develope a theory of reduction for classical systems with Poisson Lie groups symmetries using the notion of momentum map introduced by Lu. The local description of Poisson manifolds and Poisson Lie groups and the properties of Lu's momentum map allow us to define a Poisson reduced space.
Keywords
Cite
@article{arxiv.1106.3878,
title = {Poisson Reduction},
author = {Chiara Esposito},
journal= {arXiv preprint arXiv:1106.3878},
year = {2017}
}
Comments
13 pages