On properness of minimal surfaces with bounded curvature
Autor(a) principal: | |
---|---|
Data de Publicação: | 2003 |
Outros Autores: | |
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. |
id |
ABC-1_89c98706497321395820088f763784b6 |
---|---|
oai_identifier_str |
oai:scielo:S0001-37652003000300003 |
network_acronym_str |
ABC-1 |
network_name_str |
Anais da Academia Brasileira de Ciências (Online) |
repository_id_str |
|
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 |
_version_ |
1754302855828733952 |