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Regular and Chaotic Dynamics, 2015, Volume 20, Issue 4, Pages 463–475
DOI: https://doi.org/10.1134/S156035471504005X
(Mi rcd26)
 

This article is cited in 12 scientific papers (total in 12 papers)

Killing Tensors with Nonvanishing Haantjes Torsion and Integrable Systems

Andrey V. Tsiganov

St. Petersburg State University, ul. Ulyanovskaya 1, St. Petersburg, 198504, Russia
Citations (12)
References:
Abstract: The second-order integrable Killing tensor with simple eigenvalues and vanishing Haantjes torsion is the key ingredient in construction of Liouville integrable systems of Stäckel type. We present two examples of the integrable systems on three-dimensional Euclidean space associated with the second-order Killing tensors possessing nontrivial torsion. Integrals of motion for these integrable systems are the second- and fourth-order polynomials in momenta, which are constructed using a special family of the Killing tensors.
Keywords: Killing tensors, integrable systems, separation of variables.
Funding agency Grant number
Russian Science Foundation 15-11-30007
This work was supported by the RSF grant 15-11-30007.
Received: 28.02.2015
Bibliographic databases:
Document Type: Article
MSC: 70E40, 53A60, 58D17
Language: English
Citation: Andrey V. Tsiganov, “Killing Tensors with Nonvanishing Haantjes Torsion and Integrable Systems”, Regul. Chaotic Dyn., 20:4 (2015), 463–475
Citation in format AMSBIB
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\jour Regul. Chaotic Dyn.
\yr 2015
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\issue 4
\pages 463--475
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  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:193
    References:56
     
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