Isotropic submanifolds of pseudo-Riemannian spaces

The family of all the submanifolds of a given Riemannian or pseudo-Riemannian manifold is large enough to classify them into some interesting subfamilies such as minimal (maximal), totally geodesic, Einstein, etc. Most of these have been extensively studied by many authors, but as far as we know, no...

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Detalles Bibliográficos
Autores: Cabrerizo Jaraíz, José Luis, Fernández Andrés, Manuel, Gómez Casanueva, Juan Salvador
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2012
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47722
Acceso en línea:http://hdl.handle.net/11441/47722
https://doi.org/10.1016/j.geomphys.2012.05.002
Access Level:acceso abierto
Palabra clave:Pseudo-Riemannian manifold
Isometric immersion
Isotropic submanifold
Spacelike submanifold
Lorentzian submanifold
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spelling Isotropic submanifolds of pseudo-Riemannian spacesCabrerizo Jaraíz, José LuisFernández Andrés, ManuelGómez Casanueva, Juan SalvadorPseudo-Riemannian manifoldIsometric immersionIsotropic submanifoldSpacelike submanifoldLorentzian submanifoldThe family of all the submanifolds of a given Riemannian or pseudo-Riemannian manifold is large enough to classify them into some interesting subfamilies such as minimal (maximal), totally geodesic, Einstein, etc. Most of these have been extensively studied by many authors, but as far as we know, no paper has hitherto been published on the class of isotropic submanifolds. The purpose of this paper is therefore to gain a better understanding of this interesting class of submanifolds that arise naturally in mathematics and physics by studying their relationships with other closely distinguished families.Ministerio de Ciencia y TecnologíaJunta de AndalucíaElsevierGeometría y TopologíaFQM327: Geometria (Semi) Riemanniana y AplicacionesMinisterio de Ciencia y Tecnología (MCYT). EspañaJunta de Andalucía2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/47722https://doi.org/10.1016/j.geomphys.2012.05.002reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Geometry and Physics, 62 (9), 1915-1924.MTM2007-61248FQM-327http://ac.els-cdn.com/S0393044012000988/1-s2.0-S0393044012000988-main.pdf?_tid=56503b0c-95c6-11e6-99a3-00000aacb360&acdnat=1476859156_7e04cd80a315fee69a2242c63e2b5395info:eu-repo/semantics/openAccessoai:idus.us.es:11441/477222026-06-17T12:51:07Z
dc.title.none.fl_str_mv Isotropic submanifolds of pseudo-Riemannian spaces
title Isotropic submanifolds of pseudo-Riemannian spaces
spellingShingle Isotropic submanifolds of pseudo-Riemannian spaces
Cabrerizo Jaraíz, José Luis
Pseudo-Riemannian manifold
Isometric immersion
Isotropic submanifold
Spacelike submanifold
Lorentzian submanifold
title_short Isotropic submanifolds of pseudo-Riemannian spaces
title_full Isotropic submanifolds of pseudo-Riemannian spaces
title_fullStr Isotropic submanifolds of pseudo-Riemannian spaces
title_full_unstemmed Isotropic submanifolds of pseudo-Riemannian spaces
title_sort Isotropic submanifolds of pseudo-Riemannian spaces
dc.creator.none.fl_str_mv Cabrerizo Jaraíz, José Luis
Fernández Andrés, Manuel
Gómez Casanueva, Juan Salvador
author Cabrerizo Jaraíz, José Luis
author_facet Cabrerizo Jaraíz, José Luis
Fernández Andrés, Manuel
Gómez Casanueva, Juan Salvador
author_role author
author2 Fernández Andrés, Manuel
Gómez Casanueva, Juan Salvador
author2_role author
author
dc.contributor.none.fl_str_mv Geometría y Topología
FQM327: Geometria (Semi) Riemanniana y Aplicaciones
Ministerio de Ciencia y Tecnología (MCYT). España
Junta de Andalucía
dc.subject.none.fl_str_mv Pseudo-Riemannian manifold
Isometric immersion
Isotropic submanifold
Spacelike submanifold
Lorentzian submanifold
topic Pseudo-Riemannian manifold
Isometric immersion
Isotropic submanifold
Spacelike submanifold
Lorentzian submanifold
description The family of all the submanifolds of a given Riemannian or pseudo-Riemannian manifold is large enough to classify them into some interesting subfamilies such as minimal (maximal), totally geodesic, Einstein, etc. Most of these have been extensively studied by many authors, but as far as we know, no paper has hitherto been published on the class of isotropic submanifolds. The purpose of this paper is therefore to gain a better understanding of this interesting class of submanifolds that arise naturally in mathematics and physics by studying their relationships with other closely distinguished families.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/47722
https://doi.org/10.1016/j.geomphys.2012.05.002
url http://hdl.handle.net/11441/47722
https://doi.org/10.1016/j.geomphys.2012.05.002
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Geometry and Physics, 62 (9), 1915-1924.
MTM2007-61248
FQM-327
http://ac.els-cdn.com/S0393044012000988/1-s2.0-S0393044012000988-main.pdf?_tid=56503b0c-95c6-11e6-99a3-00000aacb360&acdnat=1476859156_7e04cd80a315fee69a2242c63e2b5395
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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