Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems
arXiv:2004.05346 · doi:10.1134/S004057792011001X
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.
17pages