Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera

Detalhes bibliográficos
Autor(a) principal: Santos, Laredo Rennan Pereira
Data de Publicação: 2019
Tipo de documento: Tese
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/9535
Resumo: In this work we study a particular class of WGSD surfaces called generalized Weingarten of the radial support type – WGSR surfaces – which satisfy a differentiable relation between the mean and Gaussian curvatures, the support function and the radius function associated with a sphere congruence. They are obtained locally as envelopes of a sphere congruence whose other envelope is a unit sphere. We characterize these surfaces in terms of a harmonic function and we provide a Weierstrass type representation depending on two holomorphic functions.
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spelling Corro, Armando Mauro Vasquezhttp://lattes.cnpq.br/4498595305431615Corro, Armando Mauro VasquezPina, Romildo da SilvaAdriano, Levi RosaGarcia, José María EspinarSantos, João Paulo dosCV: http://lattes.cnpq.br/4385129955964826Santos, Laredo Rennan Pereira2019-04-25T15:21:41Z2019-04-02SANTOS, L. R. P. Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera. 2019. 110 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.http://repositorio.bc.ufg.br/tede/handle/tede/9535In this work we study a particular class of WGSD surfaces called generalized Weingarten of the radial support type – WGSR surfaces – which satisfy a differentiable relation between the mean and Gaussian curvatures, the support function and the radius function associated with a sphere congruence. They are obtained locally as envelopes of a sphere congruence whose other envelope is a unit sphere. We characterize these surfaces in terms of a harmonic function and we provide a Weierstrass type representation depending on two holomorphic functions.Neste trabalho estudamos uma classe particular de superfícies WGSD denominadas Weingarten generalizada do tipo suporte radial – superfícies WGSR – as quais satisfazem uma relação diferenciável entre as curvaturas média e Gaussiana, a função suporte e a função raio associada a uma congruência de esferas. Elas são obtidas localmente como o envelope de uma congruência de esferas cujo outro envelope é uma esfera unitária. Caracterizamos estas superfícies em termos de uma função harmônica e fornecemos uma representação tipo Weierstrass dependendo de duas funções holomorfas.Submitted by Ana Caroline Costa (ana_caroline212@hotmail.com) on 2019-04-24T18:43:55Z No. of bitstreams: 2 Tese - Laredo Rennan Pereira Santos - 2019.pdf: 5401207 bytes, checksum: 634ae70a900fba29f9e7e7e2e36e9f96 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2019-04-25T15:21:40Z (GMT) No. of bitstreams: 2 Tese - Laredo Rennan Pereira Santos - 2019.pdf: 5401207 bytes, checksum: 634ae70a900fba29f9e7e7e2e36e9f96 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2019-04-25T15:21:41Z (GMT). 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dc.title.eng.fl_str_mv Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
dc.title.alternative.eng.fl_str_mv A class of generalized Weingarten hypersurfaces associated to sphere
title Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
spellingShingle Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
Santos, Laredo Rennan Pereira
Superfícies Weingarten generalizada
Representação tipo Weierstrass
Função holomorfa
Função harmônica
Generalized Weingarten surfaces
Weierstrass type representation
Holomorphic function
Harmonic function
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
title_full Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
title_fullStr Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
title_full_unstemmed Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
title_sort Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera
author Santos, Laredo Rennan Pereira
author_facet Santos, Laredo Rennan Pereira
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 Pina, Romildo da Silva
dc.contributor.referee3.fl_str_mv Adriano, Levi Rosa
dc.contributor.referee4.fl_str_mv Garcia, José María Espinar
dc.contributor.referee5.fl_str_mv Santos, João Paulo dos
dc.contributor.authorLattes.fl_str_mv CV: http://lattes.cnpq.br/4385129955964826
dc.contributor.author.fl_str_mv Santos, Laredo Rennan Pereira
contributor_str_mv Corro, Armando Mauro Vasquez
Corro, Armando Mauro Vasquez
Pina, Romildo da Silva
Adriano, Levi Rosa
Garcia, José María Espinar
Santos, João Paulo dos
dc.subject.por.fl_str_mv Superfícies Weingarten generalizada
Representação tipo Weierstrass
Função holomorfa
Função harmônica
topic Superfícies Weingarten generalizada
Representação tipo Weierstrass
Função holomorfa
Função harmônica
Generalized Weingarten surfaces
Weierstrass type representation
Holomorphic function
Harmonic function
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Generalized Weingarten surfaces
Weierstrass type representation
Holomorphic function
Harmonic function
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description In this work we study a particular class of WGSD surfaces called generalized Weingarten of the radial support type – WGSR surfaces – which satisfy a differentiable relation between the mean and Gaussian curvatures, the support function and the radius function associated with a sphere congruence. They are obtained locally as envelopes of a sphere congruence whose other envelope is a unit sphere. We characterize these surfaces in terms of a harmonic function and we provide a Weierstrass type representation depending on two holomorphic functions.
publishDate 2019
dc.date.accessioned.fl_str_mv 2019-04-25T15:21:41Z
dc.date.issued.fl_str_mv 2019-04-02
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv SANTOS, L. R. P. Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera. 2019. 110 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/9535
identifier_str_mv SANTOS, L. R. P. Uma classe de hipersuperfícies Weingarten generalizada associadas a esfera. 2019. 110 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.
url http://repositorio.bc.ufg.br/tede/handle/tede/9535
dc.language.iso.fl_str_mv por
language por
dc.relation.program.fl_str_mv 6600717948137941247
dc.relation.confidence.fl_str_mv 600
600
600
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dc.relation.department.fl_str_mv -4268777512335152015
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dc.relation.sponsorship.fl_str_mv 2075167498588264571
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
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dc.format.none.fl_str_mv application/pdf
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
reponame_str Repositório Institucional da UFG
collection Repositório Institucional da UFG
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