Embedded cmc hypersurfaces on hyperbolic spaces

In this paper we will prove that for every integer $n and gt;1$, there exists a real number $H_0-2\pi$, then, $H$ can be realized as the mean curvature of an embedding of $H^{n-1}\times S^1$ in the $(n+1)$-dimensional space $H^{n+1}$.

Autores:
Perdomo, Oscar
Tipo de recurso:
Article of journal
Fecha de publicación:
2011
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/39450
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/39450
http://bdigital.unal.edu.co/29547/
Palabra clave:
Principal curvatures
Hyperbolic spaces
Constant mean curvature
CMC
Embeddings
58A10
53C42
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/39450
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network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Perdomo, Oscar49f20273-36b7-49ec-b406-4783031ecbd53002019-06-28T03:53:49Z2019-06-28T03:53:49Z2011https://repositorio.unal.edu.co/handle/unal/39450http://bdigital.unal.edu.co/29547/In this paper we will prove that for every integer $n and gt;1$, there exists a real number $H_0-2\pi$, then, $H$ can be realized as the mean curvature of an embedding of $H^{n-1}\times S^1$ in the $(n+1)$-dimensional space $H^{n+1}$.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28064Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 81-96 0034-7426Perdomo, Oscar (2011) Embedded cmc hypersurfaces on hyperbolic spaces. Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 81-96 0034-7426 .Embedded cmc hypersurfaces on hyperbolic spacesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTPrincipal curvaturesHyperbolic spacesConstant mean curvatureCMCEmbeddings58A1053C42ORIGINAL28064-99524-1-PB.pdfapplication/pdf434987https://repositorio.unal.edu.co/bitstream/unal/39450/1/28064-99524-1-PB.pdfdf0cd5581fa2f4c3b00f4bf7f90b883fMD5128064-142414-1-PB.htmltext/html4321https://repositorio.unal.edu.co/bitstream/unal/39450/2/28064-142414-1-PB.html43c276bcabb6edb5786790f4386f54c3MD52THUMBNAIL28064-99524-1-PB.pdf.jpg28064-99524-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4884https://repositorio.unal.edu.co/bitstream/unal/39450/3/28064-99524-1-PB.pdf.jpg9d9b0e952dd9a7d6e15bf50bb5a4ebf9MD53unal/39450oai:repositorio.unal.edu.co:unal/394502024-01-20 23:06:27.217Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Embedded cmc hypersurfaces on hyperbolic spaces
title Embedded cmc hypersurfaces on hyperbolic spaces
spellingShingle Embedded cmc hypersurfaces on hyperbolic spaces
Principal curvatures
Hyperbolic spaces
Constant mean curvature
CMC
Embeddings
58A10
53C42
title_short Embedded cmc hypersurfaces on hyperbolic spaces
title_full Embedded cmc hypersurfaces on hyperbolic spaces
title_fullStr Embedded cmc hypersurfaces on hyperbolic spaces
title_full_unstemmed Embedded cmc hypersurfaces on hyperbolic spaces
title_sort Embedded cmc hypersurfaces on hyperbolic spaces
dc.creator.fl_str_mv Perdomo, Oscar
dc.contributor.author.spa.fl_str_mv Perdomo, Oscar
dc.subject.proposal.spa.fl_str_mv Principal curvatures
Hyperbolic spaces
Constant mean curvature
CMC
Embeddings
58A10
53C42
topic Principal curvatures
Hyperbolic spaces
Constant mean curvature
CMC
Embeddings
58A10
53C42
description In this paper we will prove that for every integer $n and gt;1$, there exists a real number $H_0-2\pi$, then, $H$ can be realized as the mean curvature of an embedding of $H^{n-1}\times S^1$ in the $(n+1)$-dimensional space $H^{n+1}$.
publishDate 2011
dc.date.issued.spa.fl_str_mv 2011
dc.date.accessioned.spa.fl_str_mv 2019-06-28T03:53:49Z
dc.date.available.spa.fl_str_mv 2019-06-28T03:53:49Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/29547/
url https://repositorio.unal.edu.co/handle/unal/39450
http://bdigital.unal.edu.co/29547/
dc.language.iso.spa.fl_str_mv spa
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/28064
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 81-96 0034-7426
dc.relation.references.spa.fl_str_mv Perdomo, Oscar (2011) Embedded cmc hypersurfaces on hyperbolic spaces. Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 81-96 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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