Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces

Detalhes bibliográficos
Autor(a) principal: Ferreira, Flávio
Data de Publicação: 2003
Outros Autores: Pinto, Alberto A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/6688
Resumo: For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics.
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spelling Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfacesHyperbolicityConjugacyRigidityFor diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics.Cambridge University PressRepositório Científico do Instituto Politécnico do PortoFerreira, FlávioPinto, Alberto A.2015-10-14T14:22:48Z20032003-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/6688engFerreira, F., & Pinto, A. A. (2003). Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces. Ergodic Theory and Dynamical Systems, 23, 509–517. doi:10.1017/S01433857020013470143-385710.1017/S0143385702001347info: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:RCAAP2023-03-13T12:47:04Zoai:recipp.ipp.pt:10400.22/6688Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:27:13.891110Repositório 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 Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
title Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
spellingShingle Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
Ferreira, Flávio
Hyperbolicity
Conjugacy
Rigidity
title_short Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
title_full Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
title_fullStr Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
title_full_unstemmed Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
title_sort Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
author Ferreira, Flávio
author_facet Ferreira, Flávio
Pinto, Alberto A.
author_role author
author2 Pinto, Alberto A.
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Ferreira, Flávio
Pinto, Alberto A.
dc.subject.por.fl_str_mv Hyperbolicity
Conjugacy
Rigidity
topic Hyperbolicity
Conjugacy
Rigidity
description For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-01-01T00:00:00Z
2015-10-14T14:22:48Z
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/10400.22/6688
url http://hdl.handle.net/10400.22/6688
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Ferreira, F., & Pinto, A. A. (2003). Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces. Ergodic Theory and Dynamical Systems, 23, 509–517. doi:10.1017/S0143385702001347
0143-3857
10.1017/S0143385702001347
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
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)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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