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

Giorgio Tondo ; Piergiulio Tempesta

Symmetry, integrability and geometry: methods and applications, Tome 12 (2016)

Résumé

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.

Détail

Keywords: Haantjes tensor; symplectic-Haantjes manifolds; Stäckel systems; quasi-bi-Hamiltonian systems; Benenti systems.

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