Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary
Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100 - 00, Cali, ColombiaLet $(M^n, g)$ be a compact manifold with boundary and $n \geq 2$. In this paper we prove the variational characterization of the Neumann eigen\-values of an elliptic operator associated to the problem of confor...
- Autores:
-
García, Gonzalo
Muñoz, Jhovanny
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2010
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/39773
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/39773
http://bdigital.unal.edu.co/29870/
- Palabra clave:
- Uniqueness
Conformal metrics
Curvature
53A30
53C21
58J32
- 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_abf2García, Gonzalo2dca6d52-f07b-42fb-b296-7e3aa88ee3c7300Muñoz, Jhovanny4ea4701b-9cb1-4609-a35e-d564622c05773002019-06-28T04:25:18Z2019-06-28T04:25:18Z2010https://repositorio.unal.edu.co/handle/unal/39773http://bdigital.unal.edu.co/29870/Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100 - 00, Cali, ColombiaLet $(M^n, g)$ be a compact manifold with boundary and $n \geq 2$. In this paper we prove the variational characterization of the Neumann eigen\-values of an elliptic operator associated to the problem of conformal deformation of metrics and we study the uniqueness of metrics in the conformal class of the metric $g$ having the same scalar curvature of the manifold and the same mean curvature of its boundary.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28564Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 91-101 0034-7426García, Gonzalo and Muñoz, Jhovanny (2010) Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary. Revista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 91-101 0034-7426 .Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundaryArtículo 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/ARTUniquenessConformal metricsCurvature53A3053C2158J32ORIGINAL28564-142417-1-PB.htmltext/html3854https://repositorio.unal.edu.co/bitstream/unal/39773/1/28564-142417-1-PB.html64a86d6199498b1a29f6f897e19c1e40MD5128564-102238-1-PB.pdfapplication/pdf200128https://repositorio.unal.edu.co/bitstream/unal/39773/2/28564-102238-1-PB.pdf8492ba9776fa581c107cf517db819f0cMD52THUMBNAIL28564-102238-1-PB.pdf.jpg28564-102238-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4909https://repositorio.unal.edu.co/bitstream/unal/39773/3/28564-102238-1-PB.pdf.jpg408d582599126b082b5ced123ac60be1MD53unal/39773oai:repositorio.unal.edu.co:unal/397732023-01-25 23:05:02.21Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary |
| title |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary |
| spellingShingle |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary Uniqueness Conformal metrics Curvature 53A30 53C21 58J32 |
| title_short |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary |
| title_full |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary |
| title_fullStr |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary |
| title_full_unstemmed |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary |
| title_sort |
Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary |
| dc.creator.fl_str_mv |
García, Gonzalo Muñoz, Jhovanny |
| dc.contributor.author.spa.fl_str_mv |
García, Gonzalo Muñoz, Jhovanny |
| dc.subject.proposal.spa.fl_str_mv |
Uniqueness Conformal metrics Curvature 53A30 53C21 58J32 |
| topic |
Uniqueness Conformal metrics Curvature 53A30 53C21 58J32 |
| description |
Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100 - 00, Cali, ColombiaLet $(M^n, g)$ be a compact manifold with boundary and $n \geq 2$. In this paper we prove the variational characterization of the Neumann eigen\-values of an elliptic operator associated to the problem of conformal deformation of metrics and we study the uniqueness of metrics in the conformal class of the metric $g$ having the same scalar curvature of the manifold and the same mean curvature of its boundary. |
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2010 |
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2010 |
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2019-06-28T04:25:18Z |
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2019-06-28T04:25:18Z |
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Artículo de revista |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/28564 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Revista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 91-101 0034-7426 |
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García, Gonzalo and Muñoz, Jhovanny (2010) Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary. Revista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 91-101 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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