On four dimensional Dupin hypersurfaces in Euclidean space

Detalhes bibliográficos
Autor(a) principal: RIVEROS,CARLOS M. C.
Data de Publicação: 2003
Outros Autores: TENENBLAT,KETI
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=S0001-37652003000100001
Resumo: Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are considered. A generic family of such hypersurfaces is locally characterized in terms of the principal curvatures and four vector valued functions of one variable. These functions are invariant by inversions and homotheties.
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spelling On four dimensional Dupin hypersurfaces in Euclidean spaceDupin hypersurfacesLaplace invariantslines of curvatureprincipal curvaturesDupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are considered. A generic family of such hypersurfaces is locally characterized in terms of the principal curvatures and four vector valued functions of one variable. These functions are invariant by inversions and homotheties.Academia Brasileira de Ciências2003-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000100001Anais da Academia Brasileira de Ciências v.75 n.1 2003reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652003000100001info:eu-repo/semantics/openAccessRIVEROS,CARLOS M. C.TENENBLAT,KETIeng2003-04-17T00:00:00Zoai:scielo:S0001-37652003000100001Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2003-04-17T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv On four dimensional Dupin hypersurfaces in Euclidean space
title On four dimensional Dupin hypersurfaces in Euclidean space
spellingShingle On four dimensional Dupin hypersurfaces in Euclidean space
RIVEROS,CARLOS M. C.
Dupin hypersurfaces
Laplace invariants
lines of curvature
principal curvatures
title_short On four dimensional Dupin hypersurfaces in Euclidean space
title_full On four dimensional Dupin hypersurfaces in Euclidean space
title_fullStr On four dimensional Dupin hypersurfaces in Euclidean space
title_full_unstemmed On four dimensional Dupin hypersurfaces in Euclidean space
title_sort On four dimensional Dupin hypersurfaces in Euclidean space
author RIVEROS,CARLOS M. C.
author_facet RIVEROS,CARLOS M. C.
TENENBLAT,KETI
author_role author
author2 TENENBLAT,KETI
author2_role author
dc.contributor.author.fl_str_mv RIVEROS,CARLOS M. C.
TENENBLAT,KETI
dc.subject.por.fl_str_mv Dupin hypersurfaces
Laplace invariants
lines of curvature
principal curvatures
topic Dupin hypersurfaces
Laplace invariants
lines of curvature
principal curvatures
description Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are considered. A generic family of such hypersurfaces is locally characterized in terms of the principal curvatures and four vector valued functions of one variable. These functions are invariant by inversions and homotheties.
publishDate 2003
dc.date.none.fl_str_mv 2003-03-01
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=S0001-37652003000100001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000100001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652003000100001
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.1 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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