Os espaços conformemente flat E3 e F3
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/9409 |
Resumo: | This work is a bibliographical research based on papers by Armando V. Corro, Romildo da Silva Pina and Marcelo Souza (2011) [7] and Kellcio Oliveira Araujo, Ningwei Cui and Romildo da Silva Pina (2015) [3]. In these papers the surfaces of rotation in the conformal flat space E3 and the helicoidal surfaces in the conformally flat space F3, respectively, are studied. We have shown that the theorems of Efimov and Shlenker, which generalizes the famous Hilbert Theorem, are not vowed in space E3. Furthermore, we characterize most common helicoidal surfaces in F3. |
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Adriano, Levi Rosahttp://lattes.cnpq.br/3206466156270217Pereira, Rosane Gomeshttp://lattes.cnpq.br/4892810550527855Adriano, Levi RosaPereira, Rosane GomesPina, Romildo da SilvaSilva, Tarcísio Castrohttp://lattes.cnpq.br/5584004097494072Santos, Róbson Lousa dos2019-03-29T13:48:57Z2019-03-07SANTOS, R. L. Os espaços conformemente flat E3 e F3. 2019. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.http://repositorio.bc.ufg.br/tede/handle/tede/9409ark:/38995/0013000001hn5This work is a bibliographical research based on papers by Armando V. Corro, Romildo da Silva Pina and Marcelo Souza (2011) [7] and Kellcio Oliveira Araujo, Ningwei Cui and Romildo da Silva Pina (2015) [3]. In these papers the surfaces of rotation in the conformal flat space E3 and the helicoidal surfaces in the conformally flat space F3, respectively, are studied. We have shown that the theorems of Efimov and Shlenker, which generalizes the famous Hilbert Theorem, are not vowed in space E3. Furthermore, we characterize most common helicoidal surfaces in F3.Este trabalho trata-se de uma pesquisa bibliográfica baseada nos artigos de Armando V. Corro, Romildo da Silva Pina e Marcelo Souza (2011) [7] e Kellcio Oliveira Araujo, Ningwei Cui e Romildo da Silva Pina (2015) [3]. Nestes artigos, são estudadas as superfícies de rotação no espaço conformemente flat E3 e as superfícies helicoidais no espaço conformemente flat F3, respectivamente. Mostramos que os teoremas de Efimov e Shlenker, que são generalizações do famoso Teorema de Hilbert, não são válidos no espaço E3 além de caracterizar as superfícies helicoidais mínimas em F3.Submitted by Ana Caroline Costa (ana_caroline212@hotmail.com) on 2019-03-28T17:40:05Z No. of bitstreams: 2 Dissertação - Róbson Lousa dos Santos - 2019.pdf: 1045889 bytes, checksum: a215589adab27f491a2a0beba6959250 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2019-03-29T13:48:57Z (GMT) No. of bitstreams: 2 Dissertação - Róbson Lousa dos Santos - 2019.pdf: 1045889 bytes, checksum: a215589adab27f491a2a0beba6959250 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2019-03-29T13:48:57Z (GMT). No. of bitstreams: 2 Dissertação - Róbson Lousa dos Santos - 2019.pdf: 1045889 bytes, checksum: a215589adab27f491a2a0beba6959250 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2019-03-07Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPqapplication/pdfporUniversidade 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/openAccessGeometria diferencialGeometria riemannianaEspaço conformalmente flatSurperfícies de rotaçãoSuperfícies helicoidaisDifferential geometryRiemannan geometryConformal flat spaceRotation surfacesHelicoidal surfacesCIENCIAS EXATAS E DA TERRA::MATEMATICAOs espaços conformemente flat E3 e F3Conformally flat spaces E3 and F3info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600600-4268777512335152015-7090823417984401694-2555911436985713659reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; 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dc.title.eng.fl_str_mv |
Os espaços conformemente flat E3 e F3 |
dc.title.alternative.eng.fl_str_mv |
Conformally flat spaces E3 and F3 |
title |
Os espaços conformemente flat E3 e F3 |
spellingShingle |
Os espaços conformemente flat E3 e F3 Santos, Róbson Lousa dos Geometria diferencial Geometria riemanniana Espaço conformalmente flat Surperfícies de rotação Superfícies helicoidais Differential geometry Riemannan geometry Conformal flat space Rotation surfaces Helicoidal surfaces CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Os espaços conformemente flat E3 e F3 |
title_full |
Os espaços conformemente flat E3 e F3 |
title_fullStr |
Os espaços conformemente flat E3 e F3 |
title_full_unstemmed |
Os espaços conformemente flat E3 e F3 |
title_sort |
Os espaços conformemente flat E3 e F3 |
author |
Santos, Róbson Lousa dos |
author_facet |
Santos, Róbson Lousa dos |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Adriano, Levi Rosa |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/3206466156270217 |
dc.contributor.advisor-co1.fl_str_mv |
Pereira, Rosane Gomes |
dc.contributor.advisor-co1Lattes.fl_str_mv |
http://lattes.cnpq.br/4892810550527855 |
dc.contributor.referee1.fl_str_mv |
Adriano, Levi Rosa |
dc.contributor.referee2.fl_str_mv |
Pereira, Rosane Gomes |
dc.contributor.referee3.fl_str_mv |
Pina, Romildo da Silva |
dc.contributor.referee4.fl_str_mv |
Silva, Tarcísio Castro |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/5584004097494072 |
dc.contributor.author.fl_str_mv |
Santos, Róbson Lousa dos |
contributor_str_mv |
Adriano, Levi Rosa Pereira, Rosane Gomes Adriano, Levi Rosa Pereira, Rosane Gomes Pina, Romildo da Silva Silva, Tarcísio Castro |
dc.subject.por.fl_str_mv |
Geometria diferencial Geometria riemanniana Espaço conformalmente flat Surperfícies de rotação Superfícies helicoidais |
topic |
Geometria diferencial Geometria riemanniana Espaço conformalmente flat Surperfícies de rotação Superfícies helicoidais Differential geometry Riemannan geometry Conformal flat space Rotation surfaces Helicoidal surfaces CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Differential geometry Riemannan geometry Conformal flat space Rotation surfaces Helicoidal surfaces |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This work is a bibliographical research based on papers by Armando V. Corro, Romildo da Silva Pina and Marcelo Souza (2011) [7] and Kellcio Oliveira Araujo, Ningwei Cui and Romildo da Silva Pina (2015) [3]. In these papers the surfaces of rotation in the conformal flat space E3 and the helicoidal surfaces in the conformally flat space F3, respectively, are studied. We have shown that the theorems of Efimov and Shlenker, which generalizes the famous Hilbert Theorem, are not vowed in space E3. Furthermore, we characterize most common helicoidal surfaces in F3. |
publishDate |
2019 |
dc.date.accessioned.fl_str_mv |
2019-03-29T13:48:57Z |
dc.date.issued.fl_str_mv |
2019-03-07 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
SANTOS, R. L. Os espaços conformemente flat E3 e F3. 2019. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/9409 |
dc.identifier.dark.fl_str_mv |
ark:/38995/0013000001hn5 |
identifier_str_mv |
SANTOS, R. L. Os espaços conformemente flat E3 e F3. 2019. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019. ark:/38995/0013000001hn5 |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/9409 |
dc.language.iso.fl_str_mv |
por |
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por |
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6600717948137941247 |
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600 600 600 600 |
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-4268777512335152015 |
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-7090823417984401694 |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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Universidade Federal de Goiás |
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Programa de Pós-graduação em Matemática (IME) |
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UFG |
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Brasil |
dc.publisher.department.fl_str_mv |
Instituto de Matemática e Estatística - IME (RG) |
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Universidade Federal de Goiás |
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