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

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

2006-11-18

arxiv.org/abs/math-ph/0611045v2

SIGMA 3 (2007), 032, 13 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.032

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.

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