On Classical r-Matrix for the Kowalevski Gyrostat on so(4)

Abstract

We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (2)

• Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation
• Poisson maps and integrable deformations of Kowalevski top

Cited by in corpus (1)

• Deformations of the Poisson brackets and the Kowalevski top