Singular reduction of implicit Hamiltonian systems
Dynamical Systems
2009-11-10 v1 Symplectic Geometry
Abstract
This paper develops the reduction theory of implicit Hamiltonian systems admitting a symmetry group at a singular value of the momentum map. The results naturally extend those known for (explicit) Hamiltonian systems described by Poisson brackets.
Cite
@article{arxiv.math/0303022,
title = {Singular reduction of implicit Hamiltonian systems},
author = {Guido Blankenstein and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:math/0303022},
year = {2009}
}
Comments
29 pages, no figures, submitted