A Note on the Rotationally Symmetric $\mathrm{SO}(4)$ Euler Rigid Body

Gregorio Falqui

Symmetry, integrability and geometry: methods and applications, Tome 3 (2007)

Résumé

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.

Détail

Keywords: Euler top; separation of variables; bihamiltonian manifolds.

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