A Note on the Rotationally Symmetric SO(4) Euler Rigid Body

Abstract

We consider an SO(4) Euler rigid body with two 'inertia momenta' coinciding. We study it from the point of view of bihamiltonian geometry. We show how to algebraically integrate it by means of the method of separation of variables.

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (2)

• Separation of variables on a non-hyperelliptic curve
• Poisson Pencils, Integrability, and Separation of Variables