Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries

Fuente: arXiv
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Autori principali: Amirzadeh-Fard, H., Haghighatdoost, Gh., Rezaei-Aghdam, A.
Natura: Preprint
Pubblicazione: 2019
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author Amirzadeh-Fard, H.
Haghighatdoost, Gh.
Rezaei-Aghdam, A.
author_facet Amirzadeh-Fard, H.
Haghighatdoost, Gh.
Rezaei-Aghdam, A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1905_04512
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries
Amirzadeh-Fard, H.
Haghighatdoost, Gh.
Rezaei-Aghdam, A.
Mathematical Physics
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.
title Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries
topic Mathematical Physics
url https://arxiv.org/abs/1905.04512