Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation

dc.creatorBozhkov, Y
dc.creatorFreire, IL
dc.date2010
dc.dateAUG 15
dc.date2014-11-16T21:01:18Z
dc.date2015-11-26T17:26:44Z
dc.date2014-11-16T21:01:18Z
dc.date2015-11-26T17:26:44Z
dc.date.accessioned2018-03-29T00:13:54Z
dc.date.available2018-03-29T00:13:54Z
dc.identifierJournal Of Differential Equations. Academic Press Inc Elsevier Science, v. 249, n. 4, n. 872, n. 913, 2010.
dc.identifier0022-0396
dc.identifierWOS:000279154500004
dc.identifier10.1016/j.jde.2010.04.011
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/72042
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/72042
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/72042
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1284621
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionWe 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.
dc.description249
dc.description4
dc.description872
dc.description913
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Differential Equations
dc.relationJ. Differ. Equ.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectLie point symmetry
dc.subjectNoether symmetry
dc.subjectConservation laws
dc.subjectConformal group
dc.subjectPartial-differential-equations
dc.subjectDirect Construction Method
dc.subjectKohn-laplace Equations
dc.subjectConservation-laws
dc.subjectGroup Classification
dc.subjectField-equations
dc.subjectWave-equation
dc.subject3-manifolds
dc.subjectSurfaces
dc.subjectSphere
dc.titleSpecial conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
dc.typeArtículos de revistas


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