Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems
Mathematical Physics
2020-11-24 v1 math.MP
Abstract
Using the adjoint representations of Lie algebras, we classify all Jacobi structures on real two- and three-dimensional Lie groups. Also, we study Jacobi-Lie systems on these real low-dimensional Lie groups. Our results are illustrated through examples of Jacobi-Lie Hamiltonian systems on some real two- and three-dimensional Lie groups.
Keywords
Cite
@article{arxiv.2004.05346,
title = {Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems},
author = {H. Amirzadeh-Fard and Gh. Haghighatdoost and P. Kheradmandynia and A. Rezaei-Aghdam},
journal= {arXiv preprint arXiv:2004.05346},
year = {2020}
}
Comments
17pages