Superfícies isocurvadas no semiespaço Euclidiano tridimensional

Detalhes bibliográficos
Autor(a) principal: García, Hector Andrés Rosero
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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spelling 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. 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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
dc.language.iso.fl_str_mv por
language por
dc.relation.program.fl_str_mv 6600717948137941247
dc.relation.confidence.fl_str_mv 600
600
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dc.relation.department.fl_str_mv -4268777512335152015
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dc.relation.sponsorship.fl_str_mv -2555911436985713659
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
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
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFG
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institution UFG
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