Graphs and their parallel groups

Detalhes bibliográficos
Autor(a) principal: Carvalho, F. Craveiro de
Data de Publicação: 1999
Outros Autores: Robertson, S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/7713
https://doi.org/10.1007/BF02844379
Resumo: Abstract Given an immersion of a manifoldf: M?R n+k , dimensionM=n, the parallel groupP(f) off is formed by the diffeomorphisms ofM such that the normalk-planes at points of each orbit are parallel. In [3] we studied the parallel group of a plane closed curve. Here we concentrate on immersionsf: R n ?R n+1, special attention being paid to graphs of smooth maps fromR toR. Graphs of smooth mapsf: S n ?R m are also dealt with and we characterise those maps of which the graph has nontrivial parallel group. To end up we find a sufficient condition for the triviality of the tangent group.
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spelling Graphs and their parallel groupsAbstract Given an immersion of a manifoldf: M?R n+k , dimensionM=n, the parallel groupP(f) off is formed by the diffeomorphisms ofM such that the normalk-planes at points of each orbit are parallel. In [3] we studied the parallel group of a plane closed curve. Here we concentrate on immersionsf: R n ?R n+1, special attention being paid to graphs of smooth maps fromR toR. Graphs of smooth mapsf: S n ?R m are also dealt with and we characterise those maps of which the graph has nontrivial parallel group. To end up we find a sufficient condition for the triviality of the tangent group.1999info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/7713http://hdl.handle.net/10316/7713https://doi.org/10.1007/BF02844379engRendiconti del Circolo Matematico di Palermo. 48:1 (1999) 65-70Carvalho, F. Craveiro deRobertson, S.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-08-20T10:25:13Zoai:estudogeral.uc.pt:10316/7713Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:44.757738Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Graphs and their parallel groups
title Graphs and their parallel groups
spellingShingle Graphs and their parallel groups
Carvalho, F. Craveiro de
title_short Graphs and their parallel groups
title_full Graphs and their parallel groups
title_fullStr Graphs and their parallel groups
title_full_unstemmed Graphs and their parallel groups
title_sort Graphs and their parallel groups
author Carvalho, F. Craveiro de
author_facet Carvalho, F. Craveiro de
Robertson, S.
author_role author
author2 Robertson, S.
author2_role author
dc.contributor.author.fl_str_mv Carvalho, F. Craveiro de
Robertson, S.
description Abstract Given an immersion of a manifoldf: M?R n+k , dimensionM=n, the parallel groupP(f) off is formed by the diffeomorphisms ofM such that the normalk-planes at points of each orbit are parallel. In [3] we studied the parallel group of a plane closed curve. Here we concentrate on immersionsf: R n ?R n+1, special attention being paid to graphs of smooth maps fromR toR. Graphs of smooth mapsf: S n ?R m are also dealt with and we characterise those maps of which the graph has nontrivial parallel group. To end up we find a sufficient condition for the triviality of the tangent group.
publishDate 1999
dc.date.none.fl_str_mv 1999
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 http://hdl.handle.net/10316/7713
http://hdl.handle.net/10316/7713
https://doi.org/10.1007/BF02844379
url http://hdl.handle.net/10316/7713
https://doi.org/10.1007/BF02844379
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Rendiconti del Circolo Matematico di Palermo. 48:1 (1999) 65-70
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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