This article is cited 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

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.

MSC: 37J35; 70E40; 70G65

Received: November 18, 2005; in final form January 19, 2006; Published online January 24, 2006

Language: English

DOI: 10.3842/SIGMA.2006.012

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ArXiv: nlin.SI/0512054