Geodesic
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi--Lie systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 171-189

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Using the adjoint representations of Lie algebras, we classify all Jacobi structures on real two- and three-dimensional Lie groups. We also study Jacobi–Lie systems on these real low-dimensional Lie groups and illustrate our results with examples of Jacobi–Lie Hamiltonian systems on some real two- and three-dimensional Lie groups.
Mots-clés : Lie group, Jacobi structure
Keywords: Lie system, Jacobi–Lie system. 
@article{TMF_2020_205_2_a0,
     author = {H. Amirzadeh-Fard and Gh. Haghighatdoost and P. Kheradmandynia and A. Rezaei-Aghdam},
     title = {Jacobi structures on real two- and three-dimensional {Lie} groups and their {Jacobi--Lie} systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {171--189},
     publisher = {mathdoc},
     volume = {205},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a0/}
}
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H. Amirzadeh-Fard; Gh. Haghighatdoost; P. Kheradmandynia; A. Rezaei-Aghdam. Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi--Lie systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 171-189. http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a0/