The Kowalewski top: a new Lax representation

Abstract

The 2x2 monodromy matrices for the Kowalewski top on the Lie algebras e(3), so(4) and so(3,1) are presented. The corresponding quadratic R-matrix structure is the dynamical deformation of the standard R-matrix algebras. Some tops and Toda lattices related to the Kowalewski top are discussed.

17 pages, Latex

References in corpus (2)

• Separation of Variables. New Trends.
• Stationary problems for equation of the KdV type and dynamical $r$-matrices.

Cited by in corpus (2)

• The Maupertuis principle and canonical transformations of the extended phase space
• On integrable system on $S^2$ with the second integral quartic in the momenta