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Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
Інший ID:
2010 Mathematics Subject Classification: 37J35; 70H06; 70H20; 53D05
DOI:10.3842/SIGMA.2016.023
DOI:10.3842/SIGMA.2016.023
Посилання:
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.
Підтримка:
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.
Дата:
2016
Переглядів:
874
Завантажень:
272
Анотація:
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.
