Superfícies translacionais no espaço isotrópico

Detalhes bibliográficos
Autor(a) principal: Andrade, Thamara Policarpo Mendes de
Data de Publicação: 2019
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
dARK ID: ark:/38995/00130000028jr
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/9345
Resumo: Translation Surfaces are obtained by translating curves contained in non-parallel planes. In this paper, the results of the Aydin, M. E; Ergut, M. Affine Translation Surfaces in the Isotropic Space [3]. Are considered the Affine Translation Surfaces type 1 in the Isotropic 3- Space I3, obtained for translating of two curves in the planes not necessarily orthogonal. The objective was to characterize the Weingarten Affine Translation Surfaces, which satisfy certain conditions with respect to Gaussian and mean curvatures. In addition, results were obtained for Translation Surfaces satisfying \Delta _{I,II }ri = \lambda_{i}ri, finding explicit solutions for the parameterization of such surfaces. Some examples are presented, as well as their respective graphs that were plotted using the Mathematical software.
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spelling Corro, Armando Mauro Vasquezhttp://lattes.cnpq.br/4498595305431615Corro, Armando Mauro VasquezPereira, Rosane GomesCarretero, José Luis Teruel http://lattes.cnpq.br/4820960354444803Andrade, Thamara Policarpo Mendes de2019-03-18T15:05:20Z2019-03-01ANDRADE, Thamara Policarpo Mendes de. Superfícies translacionais no espaço isotrópico. 2019.61 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.http://repositorio.bc.ufg.br/tede/handle/tede/9345ark:/38995/00130000028jrTranslation Surfaces are obtained by translating curves contained in non-parallel planes. In this paper, the results of the Aydin, M. E; Ergut, M. Affine Translation Surfaces in the Isotropic Space [3]. Are considered the Affine Translation Surfaces type 1 in the Isotropic 3- Space I3, obtained for translating of two curves in the planes not necessarily orthogonal. The objective was to characterize the Weingarten Affine Translation Surfaces, which satisfy certain conditions with respect to Gaussian and mean curvatures. In addition, results were obtained for Translation Surfaces satisfying \Delta _{I,II }ri = \lambda_{i}ri, finding explicit solutions for the parameterization of such surfaces. Some examples are presented, as well as their respective graphs that were plotted using the Mathematical software.Superfícies Translacionais são obtidas pela translação de duas curvas contidas em planos não paralelos. Neste trabalho foram estudados resultados do artigo Aydin, M.E; Ergut, M. Affine Translation Surfaces in the Isotropic Space, [3]. São consideradas Superfícies Translacionais Afim de Tipo 1 no Espaço Isotrópico I3, obtidas pela translação de duas curvas em planos não necessariamente ortogonais. O objetivo foi caracterizar as Superfícies Translacionais Afim de Weingarten, as quais satisfazem certas condições de relação entre as curvaturas Gaussiana e Média. Além disso, foram obtidos resultados para as Superfícies Translacionais que satisfazem \Delta _{I,II }ri = \lambda_{i}ri, , encontrando soluções explícitas para a parametrização de tais superfícies. Alguns exemplos são apresentados, bem como os seus respectivos gráficos que foram plotados utilizando o software Matemática.Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2019-03-18T15:05:02Z No. of bitstreams: 2 Dissertação - Thamara Policarpo Mendes de Andrade - 2019.pdf: 2278035 bytes, checksum: f5bcee9ebc21e3724f29101cc9627b69 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Liliane Ferreira (ljuvencia30@gmail.com) on 2019-03-18T15:05:20Z (GMT) No. of bitstreams: 2 Dissertação - Thamara Policarpo Mendes de Andrade - 2019.pdf: 2278035 bytes, checksum: f5bcee9ebc21e3724f29101cc9627b69 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2019-03-18T15:05:20Z (GMT). No. of bitstreams: 2 Dissertação - Thamara Policarpo Mendes de Andrade - 2019.pdf: 2278035 bytes, checksum: f5bcee9ebc21e3724f29101cc9627b69 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2019-03-01application/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/openAccessEspaço IsotrópicoSuperfícies translacionaisSuperfícies de WeingartenIsotropic 3-spaceTranslation surfacesWeingarten surfacesCIENCIAS EXATAS E DA TERRA::MATEMATICASuperfícies translacionais no espaço isotrópicoTranslation surfaces in the isotropic spaceinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600-4268777512335152015-7090823417984401694reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGCC-LICENSElicense_urllicense_urltext/plain; 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dc.title.eng.fl_str_mv Superfícies translacionais no espaço isotrópico
dc.title.alternative.eng.fl_str_mv Translation surfaces in the isotropic space
title Superfícies translacionais no espaço isotrópico
spellingShingle Superfícies translacionais no espaço isotrópico
Andrade, Thamara Policarpo Mendes de
Espaço Isotrópico
Superfícies translacionais
Superfícies de Weingarten
Isotropic 3-space
Translation surfaces
Weingarten surfaces
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Superfícies translacionais no espaço isotrópico
title_full Superfícies translacionais no espaço isotrópico
title_fullStr Superfícies translacionais no espaço isotrópico
title_full_unstemmed Superfícies translacionais no espaço isotrópico
title_sort Superfícies translacionais no espaço isotrópico
author Andrade, Thamara Policarpo Mendes de
author_facet Andrade, Thamara Policarpo Mendes de
author_role author
dc.contributor.advisor1.fl_str_mv Corro, Armando Mauro Vasquez
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/4498595305431615
dc.contributor.referee1.fl_str_mv Corro, Armando Mauro Vasquez
dc.contributor.referee2.fl_str_mv Pereira, Rosane Gomes
dc.contributor.referee3.fl_str_mv Carretero, José Luis Teruel
dc.contributor.authorLattes.fl_str_mv  http://lattes.cnpq.br/4820960354444803
dc.contributor.author.fl_str_mv Andrade, Thamara Policarpo Mendes de
contributor_str_mv Corro, Armando Mauro Vasquez
Corro, Armando Mauro Vasquez
Pereira, Rosane Gomes
Carretero, José Luis Teruel
dc.subject.por.fl_str_mv Espaço Isotrópico
Superfícies translacionais
Superfícies de Weingarten
topic Espaço Isotrópico
Superfícies translacionais
Superfícies de Weingarten
Isotropic 3-space
Translation surfaces
Weingarten surfaces
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Isotropic 3-space
Translation surfaces
Weingarten surfaces
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description Translation Surfaces are obtained by translating curves contained in non-parallel planes. In this paper, the results of the Aydin, M. E; Ergut, M. Affine Translation Surfaces in the Isotropic Space [3]. Are considered the Affine Translation Surfaces type 1 in the Isotropic 3- Space I3, obtained for translating of two curves in the planes not necessarily orthogonal. The objective was to characterize the Weingarten Affine Translation Surfaces, which satisfy certain conditions with respect to Gaussian and mean curvatures. In addition, results were obtained for Translation Surfaces satisfying \Delta _{I,II }ri = \lambda_{i}ri, finding explicit solutions for the parameterization of such surfaces. Some examples are presented, as well as their respective graphs that were plotted using the Mathematical software.
publishDate 2019
dc.date.accessioned.fl_str_mv 2019-03-18T15:05:20Z
dc.date.issued.fl_str_mv 2019-03-01
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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dc.identifier.citation.fl_str_mv ANDRADE, Thamara Policarpo Mendes de. Superfícies translacionais no espaço isotrópico. 2019.61 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/9345
dc.identifier.dark.fl_str_mv ark:/38995/00130000028jr
identifier_str_mv ANDRADE, Thamara Policarpo Mendes de. Superfícies translacionais no espaço isotrópico. 2019.61 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.
ark:/38995/00130000028jr
url http://repositorio.bc.ufg.br/tede/handle/tede/9345
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dc.publisher.none.fl_str_mv Universidade Federal de Goiás
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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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