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20142026
most citedInvariant Poisson-Nijenhuis structures on Lie groups and classification

11 citations · 40 across the 13 of their papers we have counts for

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math-ph2018★ 1 cited

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…

math-ph2018

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…