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http://hdl.handle.net/10662/8948
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Campo DC | Valor | idioma |
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dc.contributor.author | Araújo, Jogli G. | - |
dc.contributor.author | Lima, Henrique F. de | - |
dc.contributor.author | Santos, Fábio R. dos | - |
dc.contributor.author | Velásquez, Marco Antonio L. | - |
dc.date.accessioned | 2019-03-15T10:45:30Z | - |
dc.date.available | 2019-03-15T10:45:30Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | http://hdl.handle.net/10662/8948 | - |
dc.description.abstract | In 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.sponsorship | The 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.extent | 27 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Locally symmetric semi-Riemannian manifold | es_ES |
dc.subject | Complete linear Weingarten spacelike submanifolds | es_ES |
dc.subject | Isoparametric submanifolds | es_ES |
dc.subject | Colector semi-Riemannian localmente simétrico | es_ES |
dc.subject | Forma de espacio de Weingarten lineal completo | es_ES |
dc.title | Characterizations of complete linear Weingarten spacelike submanifolds in a locally symmetric semi-Riemannian manifold | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1204.04 Geometría Diferencial | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Araújo, 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 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Universidade Federal de Campina Grande. Brasil | pt_PT |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 1 | es_ES |
dc.identifier.publicationfirstpage | 55 | es_ES |
dc.identifier.publicationlastpage | 81 | es_ES |
dc.identifier.publicationvolume | 32 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 32, nº 1 (2017) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_32_1_55.pdf | 158,41 kB | Adobe PDF | Descargar |
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