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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 023, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.023 (Mi sigma1105) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Haantjes Structures for the Jacobi–Calogero Model and the Benenti Systems

Giorgio Tondoa, Piergiulio Tempestabc

a Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, piaz.le Europa 1, I–34127 Trieste, Italy
b Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), C/Nicolás Cabrera, No 13–15, 28049 Madrid, Spain
c Departamento de Física Teórica II, Facultad de Físicas, Universidad Complutense, 28040 – Madrid, Spain
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DOI: https://doi.org/10.3842/SIGMA.2016.023
Abstract: 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.
Keywords: Haantjes tensor; symplectic-Haantjes manifolds; Stäckel systems; quasi-bi-Hamiltonian systems; Benenti systems.
Funding agency Grant number
Ministerio de Economía y Competitividad de España FIS2015-63966
SEV-2015-0554
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”.
Received: November 3, 2015; in final form February 22, 2016; Published online March 3, 2016
Bibliographic databases:
Document Type: Article
MSC: 37J35; 70H06; 70H20; 53D05
Language: English
Citation: Giorgio Tondo, Piergiulio Tempesta, “Haantjes Structures for the Jacobi–Calogero Model and the Benenti Systems”, SIGMA, 12 (2016), 023, 18 pp.
Citation in format AMSBIB
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\by Giorgio~Tondo, Piergiulio~Tempesta
\paper Haantjes Structures for the Jacobi--Calogero Model and the Benenti Systems
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\vol 12
\papernumber 023
\totalpages 18
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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