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

Author:

Amirzadeh-Fard H.,Haghighatdoost G.,Kheradmandynia P.,Rezaei-Aghdam A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference27 articles.

1. E. Vessiot, “Sur une classe d’éuations différentielles,” Ann. Sci. École Norm. Sup. Ser. 3, 10, 53–64 (1893).

2. A. Guldberg, “Sur les équations différentielles ordinaires qui possèdent un système fondamental d’intégrales,” C. R. Math. Acad. Sci. Paris, 116, 964–965 (1893).

3. S. Lie and G. Scheffers, Vorlesungen über continuierliche Gruppen mit Geometrischen und anderen Anwendungen, Teubner, Leipzig (1893).

4. J. F. Cariñena, J. Grabowski, and G. Marmo, Lie–Scheffers Systems: A Geometric Approach, Bibliopolis, Naples (2000).

5. A. Ballesteros, A. Blasco, F. Herranz, J. de Lucas, and C. Sardón, “Lie–Hamilton systems on the plane: Properties, classification, and applications,” J. Diff. Eqs, 258, 2873–2907 (2015).

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1. Jacobi–Lie Models and Supergravity Equations;Progress of Theoretical and Experimental Physics;2024-04-10

2. Integrable Bi-Hamiltonian Systems by Jacobi Structure on Real Three-Dimensional Lie Groups;Journal of Nonlinear Mathematical Physics;2023-10-19

3. Contact Lie systems: theory and applications;Journal of Physics A: Mathematical and Theoretical;2023-07-28

4. Jacobi-Lie Hamiltonian Systems on Real Low-Dimensional Jacobi-Lie Groups and their Lie Symmetries;Zurnal matematiceskoj fiziki, analiza, geometrii;2022-01-25

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