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math.DG2020
Poisson-Nijenhuis Structure on Lie groupoids from the Invariance's Point of View
Gh. Haghighatdoost, J. Ojbag
In this paper, we introduce right-invariant (similarly, left-invariant) Poisson-Nijenhuis Structures on Lie groupoids and their infinitesimal counterparts as called $(Λ, \mathbf{n}…
math-ph2020★ 7 cited
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems
H. Amirzadeh-Fard, Gh. Haghighatdoost, P. Kheradmandynia +1
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…