Superfícies mínimas de Laguerre e geometria isotrópica
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/5832 |
Resumo: | In this work we refer to the study of a new method and simple approach to minimal surface Laguerre in isotropic model of Laguerre geometry as the bi-harmonic function graph. We developed the isotropic geometry which studies the geometric properties invariant under certain affine transformations in Euclidean space, and the fundamental elements of Laguerre geometry which are spheres orienteds and plans orienteds, and properties which are invariant on the transformation of Laguerre. In addition, we will show a close relationship between minimal surfaces Laguerre spherical type and isotropic minimal surfaces which are given by the graph of harmonic functions and minimal Euclidean surfaces. Finally, the duality metric in the isotropic space is used to develop an isotropic exchange for minimal surfaces Laguerre in certain Lie transformation of Laguerre minimal surfaces in Euclidean space. |
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Corro, Armando Mauro Vasquezhttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4763521P6Corro, Armando Mauro VasquezAdriano, Levi RosaRiveros, Carlos Maber Carrionhttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K8730632A8Reyes, Edwin Oswaldo Salinas2016-08-05T12:33:56Z2016-02-29Edwin Salinas Reyes. Superfícies mínimas de Laguerre e geometria isotrópica. 2016. 65 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.http://repositorio.bc.ufg.br/tede/handle/tede/5832ark:/38995/001300000972bIn this work we refer to the study of a new method and simple approach to minimal surface Laguerre in isotropic model of Laguerre geometry as the bi-harmonic function graph. We developed the isotropic geometry which studies the geometric properties invariant under certain affine transformations in Euclidean space, and the fundamental elements of Laguerre geometry which are spheres orienteds and plans orienteds, and properties which are invariant on the transformation of Laguerre. In addition, we will show a close relationship between minimal surfaces Laguerre spherical type and isotropic minimal surfaces which are given by the graph of harmonic functions and minimal Euclidean surfaces. Finally, the duality metric in the isotropic space is used to develop an isotropic exchange for minimal surfaces Laguerre in certain Lie transformation of Laguerre minimal surfaces in Euclidean space.Neste trabalho nos referimos ao estudo de um novo método de desenvolvimento de superfícies mínimas de Laguerre vista no modelo isotrópico da geometria de Laguerre como o gráfico de funções bi-harmônicas. Desenvolvemos a geometria isotrópica a qual estuda as propriedades geométricas invariantes por certas transformações afines no espaço Euclidiano, os elementos fundamentais da geometria de Laguerre as quais são esferas e planos orientados e as propriedades as quais são invariantes sobre as transformações de Laguerre. Além disso, mostraremos uma relação fechada entre superfícies mínimas de Laguerre do tipo esférico e superfícies mínimas isotrópicas as quais são dadas pelo gráfico de funções harmônicas e superfícies mínimas Euclidianas. Finalmente, a métrica dual no espaço isotrópico é utilizada para desenvolver uma contrapartida isotrópica de superfícies mínimas de Laguerre em certas transformações de Lie de superfícies mínimas de Laguerre no espaço Euclidiano.Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2016-08-04T19:38:03Z No. of bitstreams: 2 Mestrado - Edwin Oswaldo Salinas Reyes - 2016.pdf: 1254340 bytes, checksum: f20230521814efa37f16e24f8d80f74e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2016-08-05T12:33:56Z (GMT) No. of bitstreams: 2 Mestrado - Edwin Oswaldo Salinas Reyes - 2016.pdf: 1254340 bytes, checksum: f20230521814efa37f16e24f8d80f74e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2016-08-05T12:33:56Z (GMT). No. of bitstreams: 2 Mestrado - Edwin Oswaldo Salinas Reyes - 2016.pdf: 1254340 bytes, checksum: f20230521814efa37f16e24f8d80f74e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2016-02-29Conselho 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/4.0/info:eu-repo/semantics/openAccessGeometria isotrópicaGeometria de LaguerreSuperfícies mínimas de Laguerre e isotrópicaFunções bi-harmônicasTransformações e superfícies de LegendreMétrica dualIsotropic geometryLaguerre geometryMinimal surfaces Laguerre and isotropicBi-harmonic functionsTransformations and surfaces Legendre, dual metricUual metricALGEBRA::GEOMETRIA ALGEBRICASuperfícies mínimas de Laguerre e geometria isotrópicaLaguerre geoemtry surfaces and isotropic geometryinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600600-4268777512335152015-1843471329842045595-2555911436985713659reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; 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dc.title.por.fl_str_mv |
Superfícies mínimas de Laguerre e geometria isotrópica |
dc.title.alternative.eng.fl_str_mv |
Laguerre geoemtry surfaces and isotropic geometry |
title |
Superfícies mínimas de Laguerre e geometria isotrópica |
spellingShingle |
Superfícies mínimas de Laguerre e geometria isotrópica Reyes, Edwin Oswaldo Salinas Geometria isotrópica Geometria de Laguerre Superfícies mínimas de Laguerre e isotrópica Funções bi-harmônicas Transformações e superfícies de Legendre Métrica dual Isotropic geometry Laguerre geometry Minimal surfaces Laguerre and isotropic Bi-harmonic functions Transformations and surfaces Legendre, dual metric Uual metric ALGEBRA::GEOMETRIA ALGEBRICA |
title_short |
Superfícies mínimas de Laguerre e geometria isotrópica |
title_full |
Superfícies mínimas de Laguerre e geometria isotrópica |
title_fullStr |
Superfícies mínimas de Laguerre e geometria isotrópica |
title_full_unstemmed |
Superfícies mínimas de Laguerre e geometria isotrópica |
title_sort |
Superfícies mínimas de Laguerre e geometria isotrópica |
author |
Reyes, Edwin Oswaldo Salinas |
author_facet |
Reyes, Edwin Oswaldo Salinas |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Corro, Armando Mauro Vasquez |
dc.contributor.advisor1Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4763521P6 |
dc.contributor.referee1.fl_str_mv |
Corro, Armando Mauro Vasquez |
dc.contributor.referee2.fl_str_mv |
Adriano, Levi Rosa |
dc.contributor.referee3.fl_str_mv |
Riveros, Carlos Maber Carrion |
dc.contributor.authorLattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K8730632A8 |
dc.contributor.author.fl_str_mv |
Reyes, Edwin Oswaldo Salinas |
contributor_str_mv |
Corro, Armando Mauro Vasquez Corro, Armando Mauro Vasquez Adriano, Levi Rosa Riveros, Carlos Maber Carrion |
dc.subject.por.fl_str_mv |
Geometria isotrópica Geometria de Laguerre Superfícies mínimas de Laguerre e isotrópica Funções bi-harmônicas Transformações e superfícies de Legendre Métrica dual |
topic |
Geometria isotrópica Geometria de Laguerre Superfícies mínimas de Laguerre e isotrópica Funções bi-harmônicas Transformações e superfícies de Legendre Métrica dual Isotropic geometry Laguerre geometry Minimal surfaces Laguerre and isotropic Bi-harmonic functions Transformations and surfaces Legendre, dual metric Uual metric ALGEBRA::GEOMETRIA ALGEBRICA |
dc.subject.eng.fl_str_mv |
Isotropic geometry Laguerre geometry Minimal surfaces Laguerre and isotropic Bi-harmonic functions Transformations and surfaces Legendre, dual metric Uual metric |
dc.subject.cnpq.fl_str_mv |
ALGEBRA::GEOMETRIA ALGEBRICA |
description |
In this work we refer to the study of a new method and simple approach to minimal surface Laguerre in isotropic model of Laguerre geometry as the bi-harmonic function graph. We developed the isotropic geometry which studies the geometric properties invariant under certain affine transformations in Euclidean space, and the fundamental elements of Laguerre geometry which are spheres orienteds and plans orienteds, and properties which are invariant on the transformation of Laguerre. In addition, we will show a close relationship between minimal surfaces Laguerre spherical type and isotropic minimal surfaces which are given by the graph of harmonic functions and minimal Euclidean surfaces. Finally, the duality metric in the isotropic space is used to develop an isotropic exchange for minimal surfaces Laguerre in certain Lie transformation of Laguerre minimal surfaces in Euclidean space. |
publishDate |
2016 |
dc.date.accessioned.fl_str_mv |
2016-08-05T12:33:56Z |
dc.date.issued.fl_str_mv |
2016-02-29 |
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 |
Edwin Salinas Reyes. Superfícies mínimas de Laguerre e geometria isotrópica. 2016. 65 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/5832 |
dc.identifier.dark.fl_str_mv |
ark:/38995/001300000972b |
identifier_str_mv |
Edwin Salinas Reyes. Superfícies mínimas de Laguerre e geometria isotrópica. 2016. 65 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016. ark:/38995/001300000972b |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/5832 |
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 |
dc.relation.department.fl_str_mv |
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-1843471329842045595 |
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dc.rights.driver.fl_str_mv |
http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by/4.0/ |
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openAccess |
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application/pdf |
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Universidade Federal de Goiás |
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Programa de Pós-graduação em Matemática (IME) |
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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 |
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