Autor(es):
Abrunheiro, L. 
; Camarinha, M.
Data: 2004
Identificador Persistente: http://hdl.handle.net/10316/11423
Origem: Estudo Geral - Universidade de Coimbra
Detalhes do Documento
Riemannian cubic polynomials
Descrição
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. ISR; FCT, project posi/sri/41618/2001
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. ISR; FCT, project posi/sri/41618/2001
Tipo de Documento
Preprint
Idioma Inglês
Idioma Inglês
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