Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems

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dc.contributor.authorTondo, G.
dc.contributor.authorTempesta, P.
dc.date.accessioned2019-02-14T18:11:05Z
dc.date.available2019-02-14T18:11:05Z
dc.date.issued2016
dc.description.abstractIn 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-Hamiltonian systems. As an application, we recover the Haantjes manifolds for the rational Calogero model with three particles and for the Benenti systems.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in honour of Sergio Benenti. The full collection is available at http://www.emis.de/journals/SIGMA/Benenti.html. 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.uk_UA
dc.identifier.citationHaantjes Structures for the Jacobi-Calogero Model and the Benenti Systems / G. Tondo, P. Tempesta // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 44 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 37J35; 70H06; 70H20; 53D05
dc.identifier.otherDOI:10.3842/SIGMA.2016.023
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147418
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHaantjes Structures for the Jacobi-Calogero Model and the Benenti Systemsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік