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arXiv · 1511.00234

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

Giorgio Tondo·Piergiulio Tempesta
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Abstract

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.

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Giorgio Tondo, Piergiulio Tempesta. 2016-03-03. Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems. https://doi.org/10.3842/sigma.2016.023

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