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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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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/

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