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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.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…