The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature

Detalhes bibliográficos
Autor(a) principal: HINOJOSA,PEDRO A.
Data de Publicação: 2013
Outros Autores: SILVA,GILVANEIDE N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000401217
Resumo: In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R. Osserman:The normal Gauss map of a minimal surface immersed inℝ3with finite total curvature, which is not a plane, omits at most three points of��2Moreover, under an additional hypothesis on the type of ends, we prove that this number is exactly 2.
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spelling The Gauss Map of Complete Minimal Surfaces with Finite Total CurvatureGauss mapminimal surfacesFinite total curvatureImage of the Gauss mapIn this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R. Osserman:The normal Gauss map of a minimal surface immersed inℝ3with finite total curvature, which is not a plane, omits at most three points of��2Moreover, under an additional hypothesis on the type of ends, we prove that this number is exactly 2.Academia Brasileira de Ciências2013-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000401217Anais da Academia Brasileira de Ciências v.85 n.4 2013reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201376911info:eu-repo/semantics/openAccessHINOJOSA,PEDRO A.SILVA,GILVANEIDE N.eng2015-11-03T00:00:00Zoai:scielo:S0001-37652013000401217Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2015-11-03T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
title The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
spellingShingle The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
HINOJOSA,PEDRO A.
Gauss map
minimal surfaces
Finite total curvature
Image of the Gauss map
title_short The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
title_full The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
title_fullStr The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
title_full_unstemmed The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
title_sort The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
author HINOJOSA,PEDRO A.
author_facet HINOJOSA,PEDRO A.
SILVA,GILVANEIDE N.
author_role author
author2 SILVA,GILVANEIDE N.
author2_role author
dc.contributor.author.fl_str_mv HINOJOSA,PEDRO A.
SILVA,GILVANEIDE N.
dc.subject.por.fl_str_mv Gauss map
minimal surfaces
Finite total curvature
Image of the Gauss map
topic Gauss map
minimal surfaces
Finite total curvature
Image of the Gauss map
description In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R. Osserman:The normal Gauss map of a minimal surface immersed inℝ3with finite total curvature, which is not a plane, omits at most three points of��2Moreover, under an additional hypothesis on the type of ends, we prove that this number is exactly 2.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000401217
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000401217
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201376911
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.85 n.4 2013
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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