In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized St ̈ackel 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.

Haantjes structures for the Jacobi-Calogero model and the Benenti systems

TONDO, GIORGIO SALVATORE;
2016

Abstract

In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized St ̈ackel 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2873623
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