×

Sur les action-angles de la toupie de Kowalevski. (The action-angles of the Kowalevski top). (French) Zbl 0588.58024

The author proves that the integrable Hamiltonian system of the Kowalevski top is separable. This allows him to relate the monodromy of the action angles with the period matrix of a family of Riemann surfaces. He computes, explicitly, the corresponding Picard-Fuchs equation.
Reviewer: W.M.Oliva

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
PDFBibTeX XMLCite