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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Дата: | 2016 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2016
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147418 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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 |
2023-05-20T17:27:48Z |
last_indexed |
2023-05-20T17:27:48Z |
_version_ |
1796153349680136192 |