Os espaços conformemente flat E3 e F3

Detalhes bibliográficos
Autor(a) principal: Santos, Róbson Lousa dos
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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spelling 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/9409This 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
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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
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.
url http://repositorio.bc.ufg.br/tede/handle/tede/9409
dc.language.iso.fl_str_mv por
language por
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dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
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