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Simultaneous linearization of a class of pairs of involutions with normally hyperbolic composition

dc.contributor.authorMancini, Solange [UNESP]
dc.contributor.authorManoel, Miriam
dc.contributor.authorTeixeira, Marco Antonio
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-27T11:29:34Z
dc.date.available2014-05-27T11:29:34Z
dc.date.issued2013-06-01
dc.description.abstractIn this paper we obtain a result on simultaneous linearization for a class of pairs of involutions whose composition is normally hyperbolic. This extends the corresponding result when the composition of the involutions is a hyperbolic germ of diffeomorphism. Inside the class of pairs with normally hyperbolic composition, we obtain a characterization theorem for the composition to be hyperbolic. In addition, related to the class of interest, we present the classification of pairs of linear involutions via linear conjugacy. © 2012 Elsevier Masson SAS.en
dc.description.affiliationDepartamento de Matemática IGCE Universidade Estadual Paulista, Rio Claro, SP
dc.description.affiliationDepartamento de Matemática ICMC Universidade de São Paulo, São Carlos, SP
dc.description.affiliationDepartamento de Matemática IMECC Universidade Estadual de Campinas, Campinas, SP
dc.description.affiliationUnespDepartamento de Matemática IGCE Universidade Estadual Paulista, Rio Claro, SP
dc.format.extent418-433
dc.identifierhttp://dx.doi.org/10.1016/j.bulsci.2012.10.004
dc.identifier.citationBulletin des Sciences Mathematiques, v. 137, n. 4, p. 418-433, 2013.
dc.identifier.doi10.1016/j.bulsci.2012.10.004
dc.identifier.issn0007-4497
dc.identifier.scopus2-s2.0-84877819949
dc.identifier.urihttp://hdl.handle.net/11449/75507
dc.identifier.wosWOS:000320291900002
dc.language.isoeng
dc.relation.ispartofBulletin des Sciences Mathematiques
dc.relation.ispartofjcr0.774
dc.relation.ispartofsjr0,960
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectInvolution
dc.subjectLinearization
dc.subjectNormal hyperbolicity
dc.subjectTransversality
dc.titleSimultaneous linearization of a class of pairs of involutions with normally hyperbolic compositionen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dspace.entity.typePublication
unesp.author.orcid0000-0002-5386-9282[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentMatemática - IGCEpt

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