Stable Gauss maps from a global viewpoint

Detalhes bibliográficos
Autor(a) principal: Jesus, C. Mendes de
Data de Publicação: 2011
Outros Autores: Moraes, S. M., Fuster, M. C. Romero
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1007/s00574-011-0005-8
http://www.locus.ufv.br/handle/123456789/21888
Resumo: We associate weighted graphs to stable Gauss maps on orientable closed surfaces immersed in 3-space and prove that any bipartite weighted graph can be associated to some stable Gauss map.
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spelling Jesus, C. Mendes deMoraes, S. M.Fuster, M. C. Romero2018-09-19T16:52:25Z2018-09-19T16:52:25Z2011-02-231678-7714https://doi.org/10.1007/s00574-011-0005-8http://www.locus.ufv.br/handle/123456789/21888We associate weighted graphs to stable Gauss maps on orientable closed surfaces immersed in 3-space and prove that any bipartite weighted graph can be associated to some stable Gauss map.engBulletin of the Brazilian Mathematical Society, New SeriesVolume 42, Issue 1, p. 87–103, March 2011Springer-Verlaginfo:eu-repo/semantics/openAccessStable Gauss mapsCusps of Gauss mapsGraphsParabolic curveGlobal classificationStable Gauss maps from a global viewpointinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf267290https://locus.ufv.br//bitstream/123456789/21888/1/artigo.pdf998517594ff7ee2a0dc6e5c6f86ab5b5MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21888/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg4008https://locus.ufv.br//bitstream/123456789/21888/3/artigo.pdf.jpg5c86dec06911a45ba2a9dfecece465a5MD53123456789/218882018-09-19 23:00:48.865oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-09-20T02:00:48LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Stable Gauss maps from a global viewpoint
title Stable Gauss maps from a global viewpoint
spellingShingle Stable Gauss maps from a global viewpoint
Jesus, C. Mendes de
Stable Gauss maps
Cusps of Gauss maps
Graphs
Parabolic curve
Global classification
title_short Stable Gauss maps from a global viewpoint
title_full Stable Gauss maps from a global viewpoint
title_fullStr Stable Gauss maps from a global viewpoint
title_full_unstemmed Stable Gauss maps from a global viewpoint
title_sort Stable Gauss maps from a global viewpoint
author Jesus, C. Mendes de
author_facet Jesus, C. Mendes de
Moraes, S. M.
Fuster, M. C. Romero
author_role author
author2 Moraes, S. M.
Fuster, M. C. Romero
author2_role author
author
dc.contributor.author.fl_str_mv Jesus, C. Mendes de
Moraes, S. M.
Fuster, M. C. Romero
dc.subject.pt-BR.fl_str_mv Stable Gauss maps
Cusps of Gauss maps
Graphs
Parabolic curve
Global classification
topic Stable Gauss maps
Cusps of Gauss maps
Graphs
Parabolic curve
Global classification
description We associate weighted graphs to stable Gauss maps on orientable closed surfaces immersed in 3-space and prove that any bipartite weighted graph can be associated to some stable Gauss map.
publishDate 2011
dc.date.issued.fl_str_mv 2011-02-23
dc.date.accessioned.fl_str_mv 2018-09-19T16:52:25Z
dc.date.available.fl_str_mv 2018-09-19T16:52:25Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1007/s00574-011-0005-8
http://www.locus.ufv.br/handle/123456789/21888
dc.identifier.issn.none.fl_str_mv 1678-7714
identifier_str_mv 1678-7714
url https://doi.org/10.1007/s00574-011-0005-8
http://www.locus.ufv.br/handle/123456789/21888
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv Volume 42, Issue 1, p. 87–103, March 2011
dc.rights.driver.fl_str_mv Springer-Verlag
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Springer-Verlag
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Bulletin of the Brazilian Mathematical Society, New Series
publisher.none.fl_str_mv Bulletin of the Brazilian Mathematical Society, New Series
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instname:Universidade Federal de Viçosa (UFV)
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