Stable weakly shadowable volume-preserving systems are volume-hyperbolic

Bibliographic Details
Main Author: Bessa, Mário
Publication Date: 2014
Other Authors: Lee, Manseob, Vaz, Sandra
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.6/12421
Summary: We prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E ⊕ F. Moreover, both E and F are volume-hyperbolic. Finally, we prove the version of this result for divergence-free vector fields. As a consequence, in low dimensions, we obtain global hyperbolicity.
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spelling Stable weakly shadowable volume-preserving systems are volume-hyperbolicWeak shadowinDominated splittingHyperbolicityWe prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E ⊕ F. Moreover, both E and F are volume-hyperbolic. Finally, we prove the version of this result for divergence-free vector fields. As a consequence, in low dimensions, we obtain global hyperbolicity.uBibliorumBessa, MárioLee, ManseobVaz, Sandra2022-11-21T16:10:14Z2014-05-152014-05-15T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/12421eng10.1007/s10114-014-3093-8info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-03-11T15:48:11Zoai:ubibliorum.ubi.pt:10400.6/12421Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T01:29:04.892271Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Stable weakly shadowable volume-preserving systems are volume-hyperbolic
title Stable weakly shadowable volume-preserving systems are volume-hyperbolic
spellingShingle Stable weakly shadowable volume-preserving systems are volume-hyperbolic
Bessa, Mário
Weak shadowin
Dominated splitting
Hyperbolicity
title_short Stable weakly shadowable volume-preserving systems are volume-hyperbolic
title_full Stable weakly shadowable volume-preserving systems are volume-hyperbolic
title_fullStr Stable weakly shadowable volume-preserving systems are volume-hyperbolic
title_full_unstemmed Stable weakly shadowable volume-preserving systems are volume-hyperbolic
title_sort Stable weakly shadowable volume-preserving systems are volume-hyperbolic
author Bessa, Mário
author_facet Bessa, Mário
Lee, Manseob
Vaz, Sandra
author_role author
author2 Lee, Manseob
Vaz, Sandra
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Bessa, Mário
Lee, Manseob
Vaz, Sandra
dc.subject.por.fl_str_mv Weak shadowin
Dominated splitting
Hyperbolicity
topic Weak shadowin
Dominated splitting
Hyperbolicity
description We prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E ⊕ F. Moreover, both E and F are volume-hyperbolic. Finally, we prove the version of this result for divergence-free vector fields. As a consequence, in low dimensions, we obtain global hyperbolicity.
publishDate 2014
dc.date.none.fl_str_mv 2014-05-15
2014-05-15T00:00:00Z
2022-11-21T16:10:14Z
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/10400.6/12421
url http://hdl.handle.net/10400.6/12421
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1007/s10114-014-3093-8
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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