EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS

Detalhes bibliográficos
Autor(a) principal: Bessa,M
Data de Publicação: 2016
Outros Autores: Dias,S, Alberto Pinto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://repositorio.inesctec.pt/handle/123456789/6132
http://dx.doi.org/10.1090/proc/12977
Resumo: For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. This result generalizes the similar ones of Sullivan and Ferreira-Pinto for 1-dimensional expanding dynamics and also a result of Ferreira-Pinto for 2-dimensional hyperbolic dynamics.
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spelling EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDSFor Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. This result generalizes the similar ones of Sullivan and Ferreira-Pinto for 1-dimensional expanding dynamics and also a result of Ferreira-Pinto for 2-dimensional hyperbolic dynamics.2018-01-15T12:17:13Z2016-01-01T00:00:00Z2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://repositorio.inesctec.pt/handle/123456789/6132http://dx.doi.org/10.1090/proc/12977engBessa,MDias,SAlberto Pintoinfo: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:RCAAP2023-05-15T10:19:47Zoai:repositorio.inesctec.pt:123456789/6132Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:52:13.129111Repositório 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 DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
title EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
spellingShingle EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
Bessa,M
title_short EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
title_full EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
title_fullStr EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
title_full_unstemmed EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
title_sort EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS
author Bessa,M
author_facet Bessa,M
Dias,S
Alberto Pinto
author_role author
author2 Dias,S
Alberto Pinto
author2_role author
author
dc.contributor.author.fl_str_mv Bessa,M
Dias,S
Alberto Pinto
description For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. This result generalizes the similar ones of Sullivan and Ferreira-Pinto for 1-dimensional expanding dynamics and also a result of Ferreira-Pinto for 2-dimensional hyperbolic dynamics.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2016
2018-01-15T12:17:13Z
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://repositorio.inesctec.pt/handle/123456789/6132
http://dx.doi.org/10.1090/proc/12977
url http://repositorio.inesctec.pt/handle/123456789/6132
http://dx.doi.org/10.1090/proc/12977
dc.language.iso.fl_str_mv eng
language eng
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.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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