dc.contributor.author Sampaio, J.E. dc.date.accessioned 2018-08-27T19:33:43Z dc.date.available 2018-08-27T19:33:43Z dc.date.issued 2018-06-30 dc.identifier.uri http://hdl.handle.net/20.500.11824/844 dc.description.abstract In this paper we present a classification of a class of semialgebraic CMC surfaces in $\mathbb{R}^3$ that generalizes the recent classification made by Barbosa and do Carmo in 2016 (complete reference is in the paper), we show that a semialgebraic CMC surface in $\mathbb{R}^3$ with isolated singularities and suitable conditions on the singularities and of local connectedness is a plane or a finite union of round spheres and cylinders touching at the singularities. en_US As a consequence, we obtain that a semialgebraic good CMC surface in $\mathbb{R}^3$ that is a topological manifold does not have isolated singularities and, moreover, it is a plane or a round sphere or a cylinder. A result in the case non-isolated singularities also is presented. dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject CMC surfaces en_US dc.subject Classification en_US dc.subject Globally Subanalytic Sets en_US dc.title Semialgebraic CMC surfaces in $\mathbb{R}^3$ with singularities en_US dc.type info:eu-repo/semantics/article en_US dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/615655 en_US dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US
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