Generalized geometric Hamilton-Jacobi theorem on Lie algebroids
Mathematical Physics
2019-02-21 v1 math.MP
Abstract
In this paper, some of formulations of Hamilton-Jacobi equations for Hamiltonian system on Lie algebroids are given. Here we use the general properties of Lie algebroids to express and prove two geometric version of the Hamilton-Jacobi theorem for Hamiltonian system on Lie algebroids. Then this results are generalized and two types of time-dependent Hamilton-Jacobi theorem of Hamiltonian system on Lie algebroids are obtained.
Cite
@article{arxiv.1902.06969,
title = {Generalized geometric Hamilton-Jacobi theorem on Lie algebroids},
author = {Gh. Haghighatdoost and R. Ayoubi},
journal= {arXiv preprint arXiv:1902.06969},
year = {2019}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1508.07548 by other authors