Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147418 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707824668180480 |
|---|---|
| author | Tondo, G. Tempesta, P. |
| author_facet | Tondo, G. Tempesta, P. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T17:07:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147418 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:07:54Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tondo, G. Tempesta, P. 2019-02-14T18:11:05Z 2019-02-14T18:11:05Z 2016 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. 1815-0659 2010 Mathematics Subject Classification: 37J35; 70H06; 70H20; 53D05 DOI:10.3842/SIGMA.2016.023 https://nasplib.isofts.kiev.ua/handle/123456789/147418 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems Article published earlier |
| spellingShingle | Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems Tondo, G. Tempesta, P. |
| title | Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems |
| title_full | Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems |
| title_fullStr | Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems |
| title_full_unstemmed | Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems |
| title_short | Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems |
| title_sort | haantjes structures for the jacobi-calogero model and the benenti systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147418 |
| work_keys_str_mv | AT tondog haantjesstructuresforthejacobicalogeromodelandthebenentisystems AT tempestap haantjesstructuresforthejacobicalogeromodelandthebenentisystems |