Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
[摘要] 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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[关键词] Haantjes tensor;symplectic-Haantjes manifolds;St¨ackel systems;quasi-bi-Hamiltonian systems;Benenti systems [时效性]
