A Note on the Rotationally Symmetric SO(4) Euler Rigid Body
Mathematical Physics
2008-04-24 v2 Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math-ph/0611045,
title = {A Note on the Rotationally Symmetric SO(4) Euler Rigid Body},
author = {Gregorio Falqui},
journal= {arXiv preprint arXiv:math-ph/0611045},
year = {2008}
}
Comments
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/