Hipersuperfícies conformemente planas em R4
Guardat en:
| Autor principal: | |
|---|---|
| Data de publicació: | 2009 |
| Format: | Master thesis |
| Idioma: | por |
| Font: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tde/2905 |
Sumari: | language="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2. |
| _version_ | 1871426425056133120 |
|---|---|
| author | Moreira, Lucas |
| author_browse | Moreira, Lucas |
| author_facet | Moreira, Lucas |
| author_role | author |
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| collection | Repositório Institucional da UFG |
| contributor_str_mv | Pina, Romildo da Silva |
| dc.contributor.advisor1.fl_str_mv | Pina, Romildo da Silva |
| dc.contributor.advisor1Lattes.fl_str_mv | http://lattes.cnpq.br/2675728978857991 |
| dc.contributor.author.fl_str_mv | Moreira, Lucas |
| dc.contributor.authorLattes.fl_str_mv | http://lattes.cnpq.br/7199217979463480 |
| dc.date.accessioned.fl_str_mv | 2014-08-15T12:30:24Z |
| dc.date.issued.fl_str_mv | 2009-03-13 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.citation.fl_str_mv | MOREIRA, Lucas - Hipersuperfícies Conformemente Planas em R4. 2009. 65 f.Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2009. |
| dc.identifier.uri.fl_str_mv | http://repositorio.bc.ufg.br/tede/handle/tde/2905 |
| dc.language.iso.fl_str_mv | por |
| dc.publisher.country.fl_str_mv | Brasil |
| dc.publisher.department.fl_str_mv | Instituto de Matemática e Estatística - IME (RG) |
| dc.publisher.initials.fl_str_mv | UFG |
| dc.publisher.none.fl_str_mv | Universidade Federal de Goiás |
| dc.publisher.program.fl_str_mv | Programa de Pós-graduação em Matemática (IME) |
| dc.relation.cnpq.fl_str_mv | -7090823417984401694 |
| dc.relation.confidence.fl_str_mv | 600 600 600 |
| dc.relation.department.fl_str_mv | -4268777512335152015 |
| dc.relation.program.fl_str_mv | 6600717948137941247 |
| dc.rights.driver.fl_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositório Institucional da UFG instname:Universidade Federal de Goiás (UFG) instacron:UFG |
| dc.subject.cnpq.fl_str_mv | CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| dc.subject.eng.fl_str_mv | Conformally flat hypersurfaces in R4 |
| dc.subject.por.fl_str_mv | Hipersuperfícies conformemente planas em R4 |
| dc.title.alternative.eng.fl_str_mv | Conformally flat hipersurfaces of the R4 |
| dc.title.por.fl_str_mv | Hipersuperfícies conformemente planas em R4 |
| dc.type.driver.fl_str_mv | info:eu-repo/semantics/masterThesis |
| dc.type.status.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | language="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2. |
| eu_rights_str_mv | openAccess |
| format | masterThesis |
| id | UFG-2_e2a3efe0e6cda80ec9351b2c80f32b21 |
| identifier_str_mv | MOREIRA, Lucas - Hipersuperfícies Conformemente Planas em R4. 2009. 65 f.Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2009. |
| instacron_str | UFG |
| institution | UFG |
| instname_str | Universidade Federal de Goiás (UFG) |
| language | por |
| network_acronym_str | UFG-2 |
| network_name_str | Repositório Institucional da UFG |
| oai_identifier_str | oai:repositorio.bc.ufg.br:tde/2905 |
| publishDate | 2009 |
| publishDateSort | 2009 |
| publisher.none.fl_str_mv | Universidade Federal de Goiás |
| reponame_str | Repositório Institucional da UFG |
| repository.mail.fl_str_mv | grt.bc@ufg.br |
| repository.name.fl_str_mv | Repositório Institucional da UFG - Universidade Federal de Goiás (UFG) |
| repository_id_str | oai:repositorio.bc.ufg.br:tede/1234 |
| rights_invalid_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| spelling | Pina, Romildo da Silvahttp://lattes.cnpq.br/2675728978857991http://lattes.cnpq.br/7199217979463480Moreira, Lucas2014-08-15T12:30:24Z2009-03-13MOREIRA, Lucas - Hipersuperfícies Conformemente Planas em R4. 2009. 65 f.Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2009.http://repositorio.bc.ufg.br/tede/handle/tde/2905language="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2.Este trabalho foi baseado nos artigos [16] e [17] de Oscar J. Garay que consistem em estudar as hipersuperfícies conformemente planas em R4, cujo vetor curvatura média, H, ´e autovetor do operador Laplaciano, isto ´e, DH = lH, com l 2 R. Mostramos que estas hipersuperfícies são isoparamétricas e, consequentemente, são m´ınimas, ou uma hiperesfera S3(r), ou um cilindro cartesiano com uma 1-esfera R2 S1(r), ou um cilindro cartesiano com uma 2-esfera R S2(r).application/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/6245/dissertacao-lucas-1.pdf.jpgporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessHipersuperfícies conformemente planas em R4Conformally flat hypersurfaces in R4CIENCIAS EXATAS E DA TERRA::MATEMATICAHipersuperfícies conformemente planas em R4Conformally flat hipersurfaces of the R4info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600-4268777512335152015-7090823417984401694reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; 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| spellingShingle | Hipersuperfícies conformemente planas em R4 Moreira, Lucas Hipersuperfícies conformemente planas em R4 Conformally flat hypersurfaces in R4 CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| status_str | publishedVersion |
| title | Hipersuperfícies conformemente planas em R4 |
| title_full | Hipersuperfícies conformemente planas em R4 |
| title_fullStr | Hipersuperfícies conformemente planas em R4 |
| title_full_unstemmed | Hipersuperfícies conformemente planas em R4 |
| title_short | Hipersuperfícies conformemente planas em R4 |
| title_sort | Hipersuperfícies conformemente planas em R4 |
| topic | Hipersuperfícies conformemente planas em R4 Conformally flat hypersurfaces in R4 CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| url | http://repositorio.bc.ufg.br/tede/handle/tde/2905 |