Singular reduction of implicit Hamiltonian systems
arXiv:math/0303022 · doi:10.1016/S0034-4877(04)90013-4
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.
29 pages, no figures, submitted