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math-ph2015★ 11 cited
Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
Giorgio Tondo, Piergiulio Tempesta
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-Hamilt…
math-ph2015★ 1 cited
On the characterization of integrable systems via the Haantjes geometry
Piergiulio Tempesta, Giorgio Tondo
We prove that the existence of a Haantjes structure is a necessary and sufficient condition for a Hamiltonian system to be integrable in the Liouville-Arnold sense. This structure,…