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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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 |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/39450 |
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 |
language |
spa |
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 |
dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
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 |
dc.format.mimetype.spa.fl_str_mv |
application/pdf |
dc.publisher.spa.fl_str_mv |
Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
institution |
Universidad Nacional de Colombia |
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