Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
Mathematical Physics
2016-03-04 v2 Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1511.00234,
title = {Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems},
author = {Giorgio Tondo and Piergiulio Tempesta},
journal= {arXiv preprint arXiv:1511.00234},
year = {2016}
}
Comments
We apply the theory of symplectic-Haantjes manifolds introduced in arXiv:1405.5118 (which has been merged with arxiv:1508.04629) to the class of generalized St\"ackel systems