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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 012, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.012 (Mi sigma40) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Classical $r$-Matrix for the Kowalevski Gyrostat on $\mathrm{so}(4)$

Igor V. Komarov, Andrey V. Tsiganov

V. A. Fock Institute of Physics, St. Petersburg State University, St. Petersburg, Russia
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DOI: https://doi.org/10.3842/SIGMA.2006.012
Abstract: We present the trigonometric Lax matrix and classical $r$-matrix for the Kowalevski gyrostat on $\mathrm{so}(4)$ algebra by using the auxiliary matrix algebras $\mathrm{so}(3,2)$ or $\mathrm{sp}(4)$.
Keywords: Kowalevski top; Lax matrices; classical $r$-matrix.
Received: November 18, 2005; in final form January 19, 2006; Published online January 24, 2006
Bibliographic databases:
Document Type: Article
MSC: 37J35; 70E40; 70G65
Language: English
Citation: Igor V. Komarov, Andrey V. Tsiganov, “On Classical $r$-Matrix for the Kowalevski Gyrostat on $\mathrm{so}(4)$”, SIGMA, 2 (2006), 012, 9 pp.
Citation in format AMSBIB
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\by Igor V.~Komarov, Andrey V.~Tsiganov
\paper On Classical $r$-Matrix for the Kowalevski Gyrostat on $\mathrm{so}(4)$
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\vol 2
\papernumber 012
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    		Symmetry, Integrability and Geometry: Methods and Applications
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