RT Journal Article
T1 Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems.
A1 Tondo, Giorgio
A1 Tempesta, Piergiulio
AB 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.
PB NATL ACAD SCI UKRAINE, INST MATH
SN 1815-0659
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24421
UL https://hdl.handle.net/20.500.14352/24421
LA eng
NO © 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.
NO Ministerio de Economía y Competitividad (MINECO)
NO Programa de Excelencia Severo Ochoa (MINECO)
NO Instituto de Ciencias Matemáticas (ICMAT)
NO Progetti di ricerca di Rilevante Interesse Nazionale (PRIN), Italia
DS Docta Complutense
RD 7 abr 2025