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Type: Artigo de periódico
Title: Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
Author: Bozhkov, Y
Freire, IL
Abstract: We obtain a complete group classification of the Lie point symmetries of nonlinear Poisson equations on generic (pseudo) Riemannian manifolds M. Using this result we study their Noether symmetries and establish the respective conservation laws. It is shown that the projection of the Lie point symmetries on M are special subgroups of the conformal group of M. In particular, if the scalar curvature of M vanishes, the projection on M of the Lie point symmetry group of the Poisson equation with critical nonlinearity is the conformal group of the manifold. We illustrate our results by applying them to the Thurston geometries. (C) 2010 Elsevier Inc. All rights reserved.
Subject: Lie point symmetry
Noether symmetry
Conservation laws
Conformal group
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jde.2010.04.011
Date Issue: 2010
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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