1 citations · 1 across the 5 of their papers we have counts for
6 papers · 1 filter
Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups
A. Poursistani, Gh. Haghighatdoost, J. Abedi-Fardad
In this paper, we classify all six-dimensional real nilpotent Lie bialgebras of symplectic type. The Poisson structures on all of the related six-dimensional Poisson-Lie groups are…
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…
Generalized geometric Hamilton-Jacobi theorem on Lie algebroids
Gh. Haghighatdoost, R. Ayoubi
In this paper, some of formulations of Hamilton-Jacobi equations for Hamiltonian system on Lie algebroids are given. Here we use the general properties of Lie algebroids to express…
Some remarks on invariant Poisson quasi-Nijenhuis structures on Lie groups
Ghorbanali Haghighatdoost, Zohreh Ravanpak, Adel Rezaei-Aghdam
We study {\em right-invariant (resp., left-invariant) Poisson quasi-Nijenhuis structures} on a Lie group and introduce their infinitesimal counterpart, the so-called {\em r-qn…
Exchanging role of the phase space and symmetry group of integrable Hamiltonian systems related to Lie bialgebras of bi-symplectic types
J. Abedi-Fardad, A. Rezaei-Aghdam, Gh. Haghighatdoost
We construct integrable Hamiltonian systems with Lie bialgebras of the bi-symplectic type for which the Poisson-Lie groups play the role of…
On bi-Hamiltonian structure of some superintegrable systems
Gh. Haghighatdoost, S. Abdolhadi-zangakani
We discuss bi-Hamiltonian structures for integrable and superintegrable Hamiltonian system on the list of symplectic four-dimensional real Lie groups are classified by G. Ovando. I…