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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 032, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.032 (Mi sigma158) 		 
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
Full-text PDF (247 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2007.032
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
Bibliographic databases:
Document Type: Article
MSC: 37K10; 70H20; 14H70
Language: English
Citation: Gregorio Falqui, “A Note on the Rotationally Symmetric $\mathrm{SO}(4)$ Euler Rigid Body”, SIGMA, 3 (2007), 032, 13 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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