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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| Datum: | 2016 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2016
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147418 |
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| Zitieren: | 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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irk-123456789-1474182019-02-15T01:25:28Z Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems Tondo, G. Tempesta, P. 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147418 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Tondo, G. Tempesta, P. |
| spellingShingle |
Tondo, G. Tempesta, P. Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Tondo, G. Tempesta, P. |
| author_sort |
Tondo, G. |
| title |
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_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_sort |
haantjes structures for the jacobi-calogero model and the benenti systems |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147418 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT tondog haantjesstructuresforthejacobicalogeromodelandthebenentisystems AT tempestap haantjesstructuresforthejacobicalogeromodelandthebenentisystems |
| first_indexed |
2025-07-11T02:18:59Z |
| last_indexed |
2025-07-11T02:18:59Z |
| _version_ |
1837315224061870080 |