Superfícies isocurvadas no semiespaço Euclidiano tridimensional
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/7215 |
Resumo: | In this work we develop the basics of the concept of Isocurved Surface, introduced in [2] by Barroso and Roitman, that is, a surface immersed in a 3-dimensional manifold M and which have the same Gaussian curvature induced by two different metrics. Later on, we show a geometric method to generate non-trivial examples of elliptic and hyperbolic isocurved surfaces for the particular case of M = R3+ and the Euclidean and hyperbolic metrics induced on it. We also exhibit some examples coming from the geometric method above. |
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Adriano, Levi Rosahttp://lattes.cnpq.br/3206466156270217Adriano, Levi RosaRoitman, PedroPina, Romildo da Silvahttp://lattes.cnpq.br/9069480473048680García, Hector Andrés Rosero2017-04-25T15:46:02Z2017-03-31GARCÍA, H. A. R. Superfícies isocurvadas no semiespaço Euclidiano tridimensional. 2017. 68 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/7215In this work we develop the basics of the concept of Isocurved Surface, introduced in [2] by Barroso and Roitman, that is, a surface immersed in a 3-dimensional manifold M and which have the same Gaussian curvature induced by two different metrics. Later on, we show a geometric method to generate non-trivial examples of elliptic and hyperbolic isocurved surfaces for the particular case of M = R3+ and the Euclidean and hyperbolic metrics induced on it. We also exhibit some examples coming from the geometric method above.Neste trabalho, desenvolvemos as bases do conceito de Superfície Isocurvada, introduzido em [2] por Barroso e Roitman, isto é, uma superfície imersa numa variedade 3-dimensional M a qual tem a mesma curvatura Gaussiana induzida por duas métricas diferentes em M. Segundo isso, mostramos um método geométrico para a geração de exemplos não triviais de superfícies isocurvadas elípticas e hiperbólicas no caso particular de M = R^3_+ com as métricas conformes Euclidiana e hiperbólica. Também exibimos alguns exemplos subjacentes ao método acima.Submitted by Erika Demachki (erikademachki@gmail.com) on 2017-04-24T22:03:45Z No. of bitstreams: 2 Dissertação - Hector Andrés Rosero García - 2017.pdf: 4670148 bytes, checksum: 8bc0d1f8d189cce09af8bc129ec5edcd (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-04-25T15:46:02Z (GMT) No. of bitstreams: 2 Dissertação - Hector Andrés Rosero García - 2017.pdf: 4670148 bytes, checksum: 8bc0d1f8d189cce09af8bc129ec5edcd (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2017-04-25T15:46:02Z (GMT). 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dc.title.por.fl_str_mv |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional |
dc.title.alternative.eng.fl_str_mv |
Isocurved surfaces in Euclidean three-dimensional half-space |
title |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional |
spellingShingle |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional García, Hector Andrés Rosero Curvatura Gaussiana Métricas conformes Espaço hiperbólico Superfícies mínimas Congruência de geodésicas Gaussian curvature Conformal metrics Hyperbolic space Minimal surfaces Congruence of geodesics MATEMATICA::GEOMETRIA E TOPOLOGIA |
title_short |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional |
title_full |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional |
title_fullStr |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional |
title_full_unstemmed |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional |
title_sort |
Superfícies isocurvadas no semiespaço Euclidiano tridimensional |
author |
García, Hector Andrés Rosero |
author_facet |
García, Hector Andrés Rosero |
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.referee1.fl_str_mv |
Adriano, Levi Rosa |
dc.contributor.referee2.fl_str_mv |
Roitman, Pedro |
dc.contributor.referee3.fl_str_mv |
Pina, Romildo da Silva |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/9069480473048680 |
dc.contributor.author.fl_str_mv |
García, Hector Andrés Rosero |
contributor_str_mv |
Adriano, Levi Rosa Adriano, Levi Rosa Roitman, Pedro Pina, Romildo da Silva |
dc.subject.por.fl_str_mv |
Curvatura Gaussiana Métricas conformes Espaço hiperbólico Superfícies mínimas Congruência de geodésicas |
topic |
Curvatura Gaussiana Métricas conformes Espaço hiperbólico Superfícies mínimas Congruência de geodésicas Gaussian curvature Conformal metrics Hyperbolic space Minimal surfaces Congruence of geodesics MATEMATICA::GEOMETRIA E TOPOLOGIA |
dc.subject.eng.fl_str_mv |
Gaussian curvature Conformal metrics Hyperbolic space Minimal surfaces Congruence of geodesics |
dc.subject.cnpq.fl_str_mv |
MATEMATICA::GEOMETRIA E TOPOLOGIA |
description |
In this work we develop the basics of the concept of Isocurved Surface, introduced in [2] by Barroso and Roitman, that is, a surface immersed in a 3-dimensional manifold M and which have the same Gaussian curvature induced by two different metrics. Later on, we show a geometric method to generate non-trivial examples of elliptic and hyperbolic isocurved surfaces for the particular case of M = R3+ and the Euclidean and hyperbolic metrics induced on it. We also exhibit some examples coming from the geometric method above. |
publishDate |
2017 |
dc.date.accessioned.fl_str_mv |
2017-04-25T15:46:02Z |
dc.date.issued.fl_str_mv |
2017-03-31 |
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 |
GARCÍA, H. A. R. Superfícies isocurvadas no semiespaço Euclidiano tridimensional. 2017. 68 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/7215 |
identifier_str_mv |
GARCÍA, H. A. R. Superfícies isocurvadas no semiespaço Euclidiano tridimensional. 2017. 68 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017. |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/7215 |
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por |
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por |
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6600717948137941247 |
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600 600 600 600 |
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6357880884991220629 |
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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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Universidade Federal de Goiás |
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UFG |
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Brasil |
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Instituto de Matemática e Estatística - IME (RG) |
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Universidade Federal de Goiás |
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