Dupin hypersurfaces with constant Laguerre curvatures

Detalhes bibliográficos
Autor(a) principal: Cezana Jr., Miguel
Data de Publicação: 2017
Outros Autores: Tenenblat, Keti
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1007/s00229-017-0915-x
http://www.locus.ufv.br/handle/123456789/21619
Resumo: We consider proper Dupin hypersurfaces of the Euclidean space ℝn+1, that admit principal coordinate systems and have n distinct nonvanishing principal curvatures. We obtain explicitly all such hypersurfaces that have constant Laguerre curvatures. In particular, we show that they are determined by n−2 Laguerre curvatures and two other constants, one of them being nonzero.
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spelling Cezana Jr., MiguelTenenblat, Keti2018-09-04T11:47:23Z2018-09-04T11:47:23Z2017-0914321785https://doi.org/10.1007/s00229-017-0915-xhttp://www.locus.ufv.br/handle/123456789/21619We consider proper Dupin hypersurfaces of the Euclidean space ℝn+1, that admit principal coordinate systems and have n distinct nonvanishing principal curvatures. We obtain explicitly all such hypersurfaces that have constant Laguerre curvatures. In particular, we show that they are determined by n−2 Laguerre curvatures and two other constants, one of them being nonzero.engmanuscripta mathematicav. 154, n. 1– 2, p. 169– 184, september 2017Springer-Verlag Berlin Heidelberginfo:eu-repo/semantics/openAccessLaguerre curvaturesDupin hypersurfacesDupin hypersurfaces with constant Laguerre curvaturesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf523610https://locus.ufv.br//bitstream/123456789/21619/1/artigo.pdf5043f8e91b6ace0e9100eb9364394c3dMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21619/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4884https://locus.ufv.br//bitstream/123456789/21619/3/artigo.pdf.jpgcc9a9ae26cb3a501ae924f6d87518a59MD53123456789/216192018-09-04 23:00:40.147oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-09-05T02:00:40LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Dupin hypersurfaces with constant Laguerre curvatures
title Dupin hypersurfaces with constant Laguerre curvatures
spellingShingle Dupin hypersurfaces with constant Laguerre curvatures
Cezana Jr., Miguel
Laguerre curvatures
Dupin hypersurfaces
title_short Dupin hypersurfaces with constant Laguerre curvatures
title_full Dupin hypersurfaces with constant Laguerre curvatures
title_fullStr Dupin hypersurfaces with constant Laguerre curvatures
title_full_unstemmed Dupin hypersurfaces with constant Laguerre curvatures
title_sort Dupin hypersurfaces with constant Laguerre curvatures
author Cezana Jr., Miguel
author_facet Cezana Jr., Miguel
Tenenblat, Keti
author_role author
author2 Tenenblat, Keti
author2_role author
dc.contributor.author.fl_str_mv Cezana Jr., Miguel
Tenenblat, Keti
dc.subject.pt-BR.fl_str_mv Laguerre curvatures
Dupin hypersurfaces
topic Laguerre curvatures
Dupin hypersurfaces
description We consider proper Dupin hypersurfaces of the Euclidean space ℝn+1, that admit principal coordinate systems and have n distinct nonvanishing principal curvatures. We obtain explicitly all such hypersurfaces that have constant Laguerre curvatures. In particular, we show that they are determined by n−2 Laguerre curvatures and two other constants, one of them being nonzero.
publishDate 2017
dc.date.issued.fl_str_mv 2017-09
dc.date.accessioned.fl_str_mv 2018-09-04T11:47:23Z
dc.date.available.fl_str_mv 2018-09-04T11:47:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1007/s00229-017-0915-x
http://www.locus.ufv.br/handle/123456789/21619
dc.identifier.issn.none.fl_str_mv 14321785
identifier_str_mv 14321785
url https://doi.org/10.1007/s00229-017-0915-x
http://www.locus.ufv.br/handle/123456789/21619
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 154, n. 1– 2, p. 169– 184, september 2017
dc.rights.driver.fl_str_mv Springer-Verlag Berlin Heidelberg
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Springer-Verlag Berlin Heidelberg
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv manuscripta mathematica
publisher.none.fl_str_mv manuscripta mathematica
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instname:Universidade Federal de Viçosa (UFV)
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reponame_str LOCUS Repositório Institucional da UFV
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