论文标题
雅各比的实际二维谎言组及其雅各比莱系统的结构
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems
论文作者
论文摘要
使用Lie代数的伴随表示,我们将所有Jacobi结构分类为实际的两维谎言组。此外,我们研究了这些实际的低维谎言组的雅各比莱系统。我们的结果是通过一些实际的两维谎言组的雅各比·莱·哈密顿系统的示例来说明的。
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.