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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2016
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147418 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147418 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems |
| spellingShingle |
Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems Tondo, G. Tempesta, P. |
| 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 |
| author |
Tondo, G. Tempesta, P. |
| author_facet |
Tondo, G. Tempesta, P. |
| publishDate |
2016 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT tondog haantjesstructuresforthejacobicalogeromodelandthebenentisystems AT tempestap haantjesstructuresforthejacobicalogeromodelandthebenentisystems |
| first_indexed |
2025-12-07T17:07:54Z |
| last_indexed |
2025-12-07T17:07:54Z |
| _version_ |
1850870097006034944 |