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math-ph2019★ 7 cited
Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries
H. Amirzadeh-Fard, Gh. Haghighatdoost, A. Rezaei-Aghdam
We study Jacobi-Lie Hamiltonian systems admitting Vessiot-Guldberg Lie algebras of Hamiltonian vector fields related to Jacobi structures on real low-dimensional Jacobi-Lie groups.…
math-ph2019
Generalized geometric Hamilton-Jacobi theorem on Lie algebroids
Gh. Haghighatdoost, R. Ayoubi
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…