Tondo, GiorgioTempesta, Piergiulio2023-06-182023-06-1820161815-065910.3842/SIGMA.2016.023https://hdl.handle.net/20.500.14352/24421© NATL ACAD SCI UKRAINE, INST MATH. The work of P.T. has been partly supported by the research project FIS2015-63966, MINECO, Spain and partly by ICMAT Severo Ochoa project SEV-2015-0554 (MINECO). G.T. acknowledges the financial support of the research project PRIN 2010-11 \Geometric and analytic theory of Hamiltonian systems in finite and infinite dimensions". Moreover, he thanks G. Rastelli for interesting discussions about the Jacobi{Calogero model. We also thank the anonymous referees for a careful reading of the manuscript and for several useful suggestions.In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized Stackel 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.engjournal articlehttp://dx.doi.org/10.3842/SIGMA.2016.023http://www.emis.de/open access51-73Haantjes tensorSymplectic-Haantjes manifoldsStackel systemsQuasi-bi-Hamiltonian systemsBenenti systems.Física-Modelos matemáticosFísica matemática