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arXiv · 1507.01500

Multiplicative integrable models from Poisson-Nijenhuis structures

Francesco Bonechi
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Abstract

We discuss the role of Poisson-Nijenhuis 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 and studied in [arXiv:1503.07339].

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Francesco Bonechi. 2015-07-06. Multiplicative integrable models from Poisson-Nijenhuis structures. https://doi.org/10.4064/bc106-0-2

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