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dc.contributor.authorAraújo, Jogli G.-
dc.contributor.authorLima, Henrique F. de-
dc.contributor.authorSantos, Fábio R. dos-
dc.contributor.authorVelásquez, Marco Antonio L.-
dc.date.accessioned2019-03-15T10:45:30Z-
dc.date.available2019-03-15T10:45:30Z-
dc.date.issued2017-
dc.identifier.urihttp://hdl.handle.net/10662/8948-
dc.description.abstractIn this paper, we deal with n-dimensional complete spacelike submanifolds Mn with flat normal bundle and parallel normalized mean curvature vector immersed in an (n + p)-dimensional locally symmetric semi-Riemannian manifold L_p^(n+p) of index p obeying some standard curvature conditions which are naturally satisfied when the ambient space is a semi-Riemannian space form. In this setting, we establish sufficient conditions to guarantee that, in fact, p = 1 and Mⁿ is isometric to an isoparametric hypersurface of L_1^(n+1)having two distinct principal curvatures, one of which is simple.es_ES
dc.description.sponsorshipThe first author is partially supported by CAPES, Brazil. The second author is partially supported by CNPq, Brazil, grant 303977/2015- 9. The fourth author is partially supported by CNPq, Brazil, grant 308757/2015-7.es_ES
dc.format.extent27 p.es_ES
dc.format.mimetypeapplication/pdfen_US
dc.language.isoenges_ES
dc.publisherUniversidad de Extremaduraes_ES
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectLocally symmetric semi-Riemannian manifoldes_ES
dc.subjectComplete linear Weingarten spacelike submanifoldses_ES
dc.subjectIsoparametric submanifoldses_ES
dc.subjectColector semi-Riemannian localmente simétricoes_ES
dc.subjectForma de espacio de Weingarten lineal completoes_ES
dc.titleCharacterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifoldes_ES
dc.typearticlees_ES
dc.description.versionpeerReviewedes_ES
europeana.typeTEXTen_US
dc.rights.accessRightsopenAccesses_ES
dc.subject.unesco1204.04 Geometría Diferenciales_ES
europeana.dataProviderUniversidad de Extremadura. Españaes_ES
dc.identifier.bibliographicCitationAraújo, J.G., Lima, H.F. de, Santos, F.R. dos, Velásquez, M.A.L. (2017). Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold. Extracta Mathematicae 32 (1), 55-81. E-ISSN 2605-5686es_ES
dc.type.versionpublishedVersiones_ES
dc.contributor.affiliationUniversidade Federal de Campina Grande. Brasilpt_PT
dc.identifier.publicationtitleExtracta Mathematicaees_ES
dc.identifier.publicationissue1es_ES
dc.identifier.publicationfirstpage55es_ES
dc.identifier.publicationlastpage81es_ES
dc.identifier.publicationvolume32es_ES
dc.identifier.e-issn2605-5686-
Colección:Extracta Mathematicae Vol. 32, nº 1 (2017)

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