Generalized n-Poisson brackets on a symplectic manifold
微分几何
2014-11-18 v1 数学物理
math.MP
摘要
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.
引用
@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}
}
备注
Latex, 10 pages, to appear in Mod. Phys. Lett. A