Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries
Mathematical Physics
2024-09-10 v1 math.MP
Abstract
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. Also, we find some examples of Jacobi-Lie Hamiltonian systems on real two- and three- dimensional Jacobi-Lie groups. Finally, we present Lie symmetries of Jacobi-Lie Hamiltonian systems on some three-dimensional real Jacobi-Lie groups.
Keywords
Cite
@article{arxiv.1905.04512,
title = {Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries},
author = {H. Amirzadeh-Fard and Gh. Haghighatdoost and A. Rezaei-Aghdam},
journal= {arXiv preprint arXiv:1905.04512},
year = {2024}
}
Comments
19 pages