Conformal transformation for prescribing scalar curvature on sphere

Granados, in [1], has demonstrated the existence of a family of metrics conforming to the usual one of the unitary sphere with scalar curvature n (n − 1). In the present article another solution is found to the problem of prescribing the scalar curvature of Sn by means of a suitable conformal transf...

Full description

Autores:
Granados-Pinzón, Claudia
Olaya-León ,Wilson
Tipo de recurso:
Fecha de publicación:
2010
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14489
Acceso en línea:
http://hdl.handle.net/10784/14489
Palabra clave:
Conformal Metric
Scalar Curvature
Hilbert Space
Conformal Transformation
Métrica Conforme
Curvatura Escalar
Espacio De Hilbert
Transformación Conforme
Rights
License
Copyright (c) 2010 Claudia Granados-Pinzón, Wilson Olaya-León
id REPOEAFIT2_406cafbd431238af89d5ebab26142136
oai_identifier_str oai:repository.eafit.edu.co:10784/14489
network_acronym_str REPOEAFIT2
network_name_str Repositorio EAFIT
repository_id_str
spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2010-06-012019-11-22T19:01:25Z2010-06-012019-11-22T19:01:25Z2256-43141794-9165http://hdl.handle.net/10784/14489Granados, in [1], has demonstrated the existence of a family of metrics conforming to the usual one of the unitary sphere with scalar curvature n (n − 1). In the present article another solution is found to the problem of prescribing the scalar curvature of Sn by means of a suitable conformal transformation. Moreover, if a family of solutions to the general problem were known, another family of solutions would be obtained.Granados, en [1], ha demostrado la existencia de una familia de métricas conformes a la usual de la esfera unitaria con curvatura escalar n(n−1). En el presente artículo se halla otra solución al problema de prescribir la curvatura escalar de Sn por medio de una transformación conforme adecuada. Más áun, si se conociera una familia de soluciones al problema general, se obtendría otra familia de soluciones.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/242http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/242Copyright (c) 2010 Claudia Granados-Pinzón, Wilson Olaya-LeónAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 6, No 11 (2010)Conformal transformation for prescribing scalar curvature on sphereTransformación conforme para prescribir curvatura escalar a la esferaarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Conformal MetricScalar CurvatureHilbert SpaceConformal TransformationMétrica ConformeCurvatura EscalarEspacio De HilbertTransformación ConformeGranados-Pinzón, Claudia53153876-33c0-4898-96b5-3778d2bb10d5-1Olaya-León ,Wilson6448fd0a-7068-42ca-ac35-45fd3c7c396c-1Universidad Industrial de SantanderIngeniería y Ciencia6114756ing.cienc.ORIGINAL3.pdf3.pdfTexto completo PDFapplication/pdf153055https://repository.eafit.edu.co/bitstreams/cdf9d4ad-32c6-4b25-b72f-bca0ead5eef2/downloadbe6f9c094932991a8b9916625148f117MD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html373https://repository.eafit.edu.co/bitstreams/1a49de9d-d278-4430-a570-76046592b66c/download15a30c4b02c8f7bda28a05baa0a449b9MD53THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/d894d9ad-9bcf-4179-bbd4-09fda547057e/downloadda9b21a5c7e00c7f1127cef8e97035e0MD5110784/14489oai:repository.eafit.edu.co:10784/144892024-12-04 11:47:14.303open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Conformal transformation for prescribing scalar curvature on sphere
dc.title.spa.fl_str_mv Transformación conforme para prescribir curvatura escalar a la esfera
title Conformal transformation for prescribing scalar curvature on sphere
spellingShingle Conformal transformation for prescribing scalar curvature on sphere
Conformal Metric
Scalar Curvature
Hilbert Space
Conformal Transformation
Métrica Conforme
Curvatura Escalar
Espacio De Hilbert
Transformación Conforme
title_short Conformal transformation for prescribing scalar curvature on sphere
title_full Conformal transformation for prescribing scalar curvature on sphere
title_fullStr Conformal transformation for prescribing scalar curvature on sphere
title_full_unstemmed Conformal transformation for prescribing scalar curvature on sphere
title_sort Conformal transformation for prescribing scalar curvature on sphere
dc.creator.fl_str_mv Granados-Pinzón, Claudia
Olaya-León ,Wilson
dc.contributor.author.spa.fl_str_mv Granados-Pinzón, Claudia
Olaya-León ,Wilson
dc.contributor.affiliation.spa.fl_str_mv Universidad Industrial de Santander
dc.subject.keyword.eng.fl_str_mv Conformal Metric
Scalar Curvature
Hilbert Space
Conformal Transformation
topic Conformal Metric
Scalar Curvature
Hilbert Space
Conformal Transformation
Métrica Conforme
Curvatura Escalar
Espacio De Hilbert
Transformación Conforme
dc.subject.keyword.spa.fl_str_mv Métrica Conforme
Curvatura Escalar
Espacio De Hilbert
Transformación Conforme
description Granados, in [1], has demonstrated the existence of a family of metrics conforming to the usual one of the unitary sphere with scalar curvature n (n − 1). In the present article another solution is found to the problem of prescribing the scalar curvature of Sn by means of a suitable conformal transformation. Moreover, if a family of solutions to the general problem were known, another family of solutions would be obtained.
publishDate 2010
dc.date.issued.none.fl_str_mv 2010-06-01
dc.date.available.none.fl_str_mv 2019-11-22T19:01:25Z
dc.date.accessioned.none.fl_str_mv 2019-11-22T19:01:25Z
dc.date.none.fl_str_mv 2010-06-01
dc.type.eng.fl_str_mv article
info:eu-repo/semantics/article
publishedVersion
info:eu-repo/semantics/publishedVersion
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/14489
identifier_str_mv 2256-4314
1794-9165
url http://hdl.handle.net/10784/14489
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/242
dc.relation.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/242
dc.rights.eng.fl_str_mv Copyright (c) 2010 Claudia Granados-Pinzón, Wilson Olaya-León
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2010 Claudia Granados-Pinzón, Wilson Olaya-León
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.eng.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 6, No 11 (2010)
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
collection Repositorio Institucional Universidad EAFIT
bitstream.url.fl_str_mv https://repository.eafit.edu.co/bitstreams/cdf9d4ad-32c6-4b25-b72f-bca0ead5eef2/download
https://repository.eafit.edu.co/bitstreams/1a49de9d-d278-4430-a570-76046592b66c/download
https://repository.eafit.edu.co/bitstreams/d894d9ad-9bcf-4179-bbd4-09fda547057e/download
bitstream.checksum.fl_str_mv be6f9c094932991a8b9916625148f117
15a30c4b02c8f7bda28a05baa0a449b9
da9b21a5c7e00c7f1127cef8e97035e0
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad EAFIT
repository.mail.fl_str_mv repositorio@eafit.edu.co
_version_ 1818102384009674752

Publicaciones similares