On properness of minimal surfaces with bounded curvature

Detalhes bibliográficos
Autor(a) principal: Bessa,Gregório P.
Data de Publicação: 2003
Outros Autores: Jorge,Luquésio P. M.
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=S0001-37652003000300003
Resumo: We show that immersed minimal surfaces in the euclidean 3-space with bounded curvature and proper self intersections are proper. We also showthat restricted to wide components the immersing map is always proper, regardless the map being proper or not. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.
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spelling On properness of minimal surfaces with bounded curvatureProper immersionbounded curvatureproper self intersectionsWe show that immersed minimal surfaces in the euclidean 3-space with bounded curvature and proper self intersections are proper. We also showthat restricted to wide components the immersing map is always proper, regardless the map being proper or not. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.Academia Brasileira de Ciências2003-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000300003Anais da Academia Brasileira de Ciências v.75 n.3 2003reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652003000300003info:eu-repo/semantics/openAccessBessa,Gregório P.Jorge,Luquésio P. M.eng2003-08-25T00:00:00Zoai:scielo:S0001-37652003000300003Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2003-08-25T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv On properness of minimal surfaces with bounded curvature
title On properness of minimal surfaces with bounded curvature
spellingShingle On properness of minimal surfaces with bounded curvature
Bessa,Gregório P.
Proper immersion
bounded curvature
proper self intersections
title_short On properness of minimal surfaces with bounded curvature
title_full On properness of minimal surfaces with bounded curvature
title_fullStr On properness of minimal surfaces with bounded curvature
title_full_unstemmed On properness of minimal surfaces with bounded curvature
title_sort On properness of minimal surfaces with bounded curvature
author Bessa,Gregório P.
author_facet Bessa,Gregório P.
Jorge,Luquésio P. M.
author_role author
author2 Jorge,Luquésio P. M.
author2_role author
dc.contributor.author.fl_str_mv Bessa,Gregório P.
Jorge,Luquésio P. M.
dc.subject.por.fl_str_mv Proper immersion
bounded curvature
proper self intersections
topic Proper immersion
bounded curvature
proper self intersections
description We show that immersed minimal surfaces in the euclidean 3-space with bounded curvature and proper self intersections are proper. We also showthat restricted to wide components the immersing map is always proper, regardless the map being proper or not. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.
publishDate 2003
dc.date.none.fl_str_mv 2003-09-01
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=S0001-37652003000300003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000300003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652003000300003
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.75 n.3 2003
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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