Generalized geometric Hamilton-Jacobi theorem on Lie algebroids

Autor: Haghighatdoost, Gh., Ayoubi, R.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 11 pages. arXiv admin note: text overlap with arXiv:1508.07548 by other authors
Databáze: arXiv