Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems.
| dc.contributor.author | Tondo, Giorgio | |
| dc.contributor.author | Tempesta, Piergiulio | |
| dc.date.accessioned | 2023-06-18T06:51:32Z | |
| dc.date.available | 2023-06-18T06:51:32Z | |
| dc.date.issued | 2016 | |
| dc.description | © 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. | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
| dc.description.sponsorship | Programa de Excelencia Severo Ochoa (MINECO) | |
| dc.description.sponsorship | Instituto de Ciencias Matemáticas (ICMAT) | |
| dc.description.sponsorship | Progetti di ricerca di Rilevante Interesse Nazionale (PRIN), Italia | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/37116 | |
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| dc.identifier.doi | 10.3842/SIGMA.2016.023 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.officialurl | http://dx.doi.org/10.3842/SIGMA.2016.023 | |
| dc.identifier.relatedurl | http://www.emis.de/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/24421 | |
| dc.journal.title | Symmetry integrability and geometry: methods and applications (SIGMA) | |
| dc.language.iso | eng | |
| dc.publisher | NATL ACAD SCI UKRAINE, INST MATH | |
| dc.relation.projectID | FIS2015-63966 | |
| dc.relation.projectID | SEV-2015-0554 | |
| dc.relation.projectID | PRIN 2010-11 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Haantjes tensor | |
| dc.subject.keyword | Symplectic-Haantjes manifolds | |
| dc.subject.keyword | Stackel systems | |
| dc.subject.keyword | Quasi-bi-Hamiltonian systems | |
| dc.subject.keyword | Benenti systems. | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems. | |
| dc.type | journal article | |
| dc.volume.number | 12 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 46e9a666-a5cf-44c3-8726-7cbe2c61bd1a | |
| relation.isAuthorOfPublication.latestForDiscovery | 46e9a666-a5cf-44c3-8726-7cbe2c61bd1a |
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