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Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems

In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized Stäckel systems and, as a particular case, of the quasi-bi-Hamiltonian systems. As an application, we recover the Haantjes manifolds for the rational Calogero model with three particles and for the Benenti systems.

preprint2016arXivOpen access
Giorgio TondoPiergiulio Tempesta
math-phmath.MPmath.DGnlin.SI
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Giorgio TondoPiergiulio Tempesta

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