35 citations · 87 across the 3 of their papers we have counts for
3 papers
math.SG1999★ 18 cited
Construction of completely integrable systems by Poisson mappings
J. Grabowski, G. Marmo, P. W. Michor
Pulling back sets of functions in involution by Poisson mappings and adding Casimir functions during the process allows to construct completely integrable systems. Some examples ar…
math.DG1998★ 34 cited
Poisson structures on double Lie groups
D. Alekseevsky, J. Grabowski, G. Marmo +1
Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gauß-decompositions. The standard R-matrix in a Manin decomposition then gi…
math.SG1993★ 35 cited
Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions
Dmitri V. Alekseevsky, Janusz Grabowski, Giuseppe Marmo +1
On a cotangent bundle $T\sp*G$ of a Lie group one can describe the standard Liouville form and the symplectic form in terms of the right Maurer Cartan form and the le…