Cones in the Euclidean space with vanishing scalar curvature

Detalhes bibliográficos
Autor(a) principal: Barbosa,João Lucas M.
Data de Publicação: 2004
Outros Autores: Carmo,Manfredo do
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=S0001-37652004000400001
Resumo: Given a hypersurface M on a unit sphere of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through M. By assuming that the scalar curvature of the cone vanishes, we obtain conditions under which bounded domains of such cone are stable or unstable.
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spelling Cones in the Euclidean space with vanishing scalar curvaturestabilityr-curvatureconescalar curvatureGiven a hypersurface M on a unit sphere of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through M. By assuming that the scalar curvature of the cone vanishes, we obtain conditions under which bounded domains of such cone are stable or unstable.Academia Brasileira de Ciências2004-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400001Anais da Academia Brasileira de Ciências v.76 n.4 2004reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652004000400001info:eu-repo/semantics/openAccessBarbosa,João Lucas M.Carmo,Manfredo doeng2004-11-22T00:00:00Zoai:scielo:S0001-37652004000400001Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2004-11-22T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Cones in the Euclidean space with vanishing scalar curvature
title Cones in the Euclidean space with vanishing scalar curvature
spellingShingle Cones in the Euclidean space with vanishing scalar curvature
Barbosa,João Lucas M.
stability
r-curvature
cone
scalar curvature
title_short Cones in the Euclidean space with vanishing scalar curvature
title_full Cones in the Euclidean space with vanishing scalar curvature
title_fullStr Cones in the Euclidean space with vanishing scalar curvature
title_full_unstemmed Cones in the Euclidean space with vanishing scalar curvature
title_sort Cones in the Euclidean space with vanishing scalar curvature
author Barbosa,João Lucas M.
author_facet Barbosa,João Lucas M.
Carmo,Manfredo do
author_role author
author2 Carmo,Manfredo do
author2_role author
dc.contributor.author.fl_str_mv Barbosa,João Lucas M.
Carmo,Manfredo do
dc.subject.por.fl_str_mv stability
r-curvature
cone
scalar curvature
topic stability
r-curvature
cone
scalar curvature
description Given a hypersurface M on a unit sphere of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through M. By assuming that the scalar curvature of the cone vanishes, we obtain conditions under which bounded domains of such cone are stable or unstable.
publishDate 2004
dc.date.none.fl_str_mv 2004-12-01
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=S0001-37652004000400001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652004000400001
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.76 n.4 2004
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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