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Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems (2004.05346v1)
Published 11 Apr 2020 in math-ph and 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.