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Multiplicative integrable models from Poisson-Nijenhuis structures

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Bonechi F.

Banach Center Publications

2015

tom 106

nr 1

19-33

We discuss the role of Poisson-Nijenhuis (PN) geometry in the definition of multiplicative integrable models on symplectic groupoids. These are integrable models that are compatible with the groupoid structure in such a way that the set of contour levels of the hamiltonians in involution inherits a topological groupoid structure. We show that every maximal rank PN structure defines such a model. We consider the examples defined on compact hermitian symmetric spaces studied by F. Bonechi, J. Qiu and M. Tarlini (arXiv.org, 2015).

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1 Banach Center Publications

1 Bonechi F.

1 2015

Wyniki wyszukiwania

Multiplicative integrable models from Poisson-Nijenhuis structures