Generalized geometric Hamilton-Jacobi theorem on Lie algebroids

2019/02/19 by Haghighatdoost, Gh., Ayoubi, R. · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1902.06969

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.

Cited by

• Geometric Dynamical Systems

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