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.
Falqui, G. (2007). A note on the rotationally symmetric ${\rm SO}(4)$ Euler rigid body. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 3, 032 [10.3842/SIGMA.2007.032].
A note on the rotationally symmetric ${\rm SO}(4)$ Euler rigid body
FALQUI, GREGORIO
2007
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.
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