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Title: Riemannian cubic polynomials
Authors: Abrunheiro, L. 
Camarinha, M. 
Issue Date: 2004
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 04-03 (2004)
Abstract: This paper gives an analysis of the Riemannian cubic polynomials, with special interest in the Lie group SO(3), based on the study of a second order variational problem. The corresponding Euler-Lagrange equation gives rise to an interesting system of nonlinear di erential equations. Motivated by the problem of the motion of a rigid body, the reduction of the essential size and the separation of the variables of the system are obtained by means of invariants along the cubic polynomials.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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