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

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Tondo, G.
dc.contributor.author	Tempesta, P.
dc.date.accessioned	2019-02-14T18:11:05Z
dc.date.available	2019-02-14T18:11:05Z
dc.date.issued	2016
dc.identifier.citation	Haantjes 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 37J35; 70H06; 70H20; 53D05
dc.identifier.other	DOI:10.3842/SIGMA.2016.023
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147418
dc.description.abstract	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-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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA