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Problemas sobre la Curvatura Media en Rn+1
dc.contributor.advisor | Martín Serrano, Francisco | |
dc.contributor.advisor | de Melo Jorge, Luquésio Petrola | |
dc.contributor.author | Souza Gama, Eddygledson | |
dc.contributor.other | Universidad de Granada. Programa de Doctorado en Matemáticas | es_ES |
dc.date.accessioned | 2020-05-27T09:31:29Z | |
dc.date.available | 2020-05-27T09:31:29Z | |
dc.date.issued | 2020 | |
dc.date.submitted | 2020-01-17 | |
dc.identifier.citation | Souza Gama, Eddygledson. Problemas sobre la Curvatura Media en Rn+1. Granada: Universidad de Granada, 2020. [http://hdl.handle.net/10481/62234] | es_ES |
dc.identifier.isbn | 9788413064802 | |
dc.identifier.uri | http://hdl.handle.net/10481/62234 | |
dc.description.abstract | This thesis is divided into three chapters. In the first chapter, it is done a brief introduction of the main tools necessary for the development of this work. In turn, in the second chapter it develops the Jenkins-Serrin theory for vertical and horizontal cases. Regarding the vertical case, it only proves the existence of the solution of Jenkins-Serrin problem for the type I, when M is rotationally symmetric and has non-positive sectional curvatures. However, with respect to the horizontal case, the existence and the uniqueness is proved in a general way, namely assuming that the base space M has a particular structure. The third and last chapter of this thesis is devoted to proving a result of the characterization of translating solitons in R^{n+1}. More precisely, it is proved that the unique examples C^{1}-asymptotic to two half-hyperplanes outside a cylinder are the hyperplanes parallel to e_{n+1} and the elements of the family associated with the tilted grim reaper cylinder in R^{n+1}. | es_ES |
dc.description.sponsorship | Tesis Univ. Granada. | es_ES |
dc.description.sponsorship | This study was financed in part by the Coordenação de Aperfeçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001 and PDSE/88881.132- 464/2016-01. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Granada | es_ES |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.subject | Geometría | es_ES |
dc.subject | Topología | es_ES |
dc.title | Problemas sobre la Curvatura Media en Rn+1 | es_ES |
dc.title.alternative | Problems about mean curvature in Rn+1 | es_ES |
dc.type | info:eu-repo/semantics/doctoralThesis | es_ES |
europeana.type | TEXT | en_US |
europeana.dataProvider | Universidad de Granada. España. | es_ES |
europeana.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/ | en_US |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en_US |
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