Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems

@article{AmirzadehFard2020JacobiSO,
  title={Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems},
  author={H. Amirzadeh-Fard and Gh. Haghighatdoost and Parisa Kheradmandynia and Adel Rezaei-Aghdam},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
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. 
1 Citations
Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups
By Poissonization of Jacobi structures on real three-dimensional Lie groups G and using the realizations of their Lie algebras, we obtain integrable bi-Hamiltonian systems on G⊗ R. keywords:

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