Generalized n-Poisson brackets on a symplectic manifold
Differential Geometry
2014-11-18 v1 Mathematical Physics
math.MP
Abstract
On a symplectic manifold a family of generalized Poisson brackets associated with powers of the symplectic form is studied. The extreme cases are related to the Hamiltonian and Liouville dynamics. It is shown that the Dirac brackets can be obtained in a similar way.
Keywords
Cite
@article{arxiv.math/9902129,
title = {Generalized n-Poisson brackets on a symplectic manifold},
author = {Janusz Grabowski and Giuseppe Marmo},
journal= {arXiv preprint arXiv:math/9902129},
year = {2014}
}
Comments
Latex, 10 pages, to appear in Mod. Phys. Lett. A