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Title
JACOBI STRUCTURES ON REAL TWO- AND THREE-DIMENSIONAL LIE GROUPS AND THEIR JACOBI–LIE SYSTEMS
Type of Research Article
Keywords
Lie group, Jacobi structure, Lie system, Jacobi–Lie system
Abstract
Using the adjoint representations of Lie algebras, we classify all Jacobi structures on real two- and threedimensional 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 threedimensional Lie groups
Researchers Ghorbanali Haghighatdoost Bonab (First Researcher)، Hasan Amirzadeh (Second Researcher)، Parisa Kheradmandnia (Third Researcher)، Adel Rezaei-Aghdam (Fourth Researcher)