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This article is cited in 4 scientific papers (total in 4 papers)
A Note on the Rotationally Symmetric $\mathrm{SO}(4)$ Euler Rigid Body
Gregorio Falqui Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via R. Cozzi, 53, 20125 Milano, Italy
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:
Euler top; separation of variables; bihamiltonian manifolds.
Received: November 15, 2006; in final form February 2, 2007; Published online February 26, 2007
Citation:
Gregorio Falqui, “A Note on the Rotationally Symmetric $\mathrm{SO}(4)$ Euler Rigid Body”, SIGMA, 3 (2007), 032, 13 pp.
Linking options:
https://www.mathnet.ru/eng/sigma158 https://www.mathnet.ru/eng/sigma/v3/p32
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Abstract page: | 219 | Full-text PDF : | 49 | References: | 36 |
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