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/10400.2/13900
Summary: We prove that any C^1-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 shadowingDominated splittingHyperbolicityWe prove that any C^1-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.SpringerRepositório AbertoBessa, MárioLee, ManseobVaz, Sandra2023-05-30T10:46:59Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13900eng10.1007/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:RCAAP2025-02-26T09:57:21Zoai:repositorioaberto.uab.pt:10400.2/13900Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T21:13:39.355471Repositórios 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 shadowing
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 Repositório Aberto
dc.contributor.author.fl_str_mv Bessa, Mário
Lee, Manseob
Vaz, Sandra
dc.subject.por.fl_str_mv Weak shadowing
Dominated splitting
Hyperbolicity
topic Weak shadowing
Dominated splitting
Hyperbolicity
description We prove that any C^1-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
2014-01-01T00:00:00Z
2023-05-30T10:46:59Z
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/10400.2/13900
url http://hdl.handle.net/10400.2/13900
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.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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repository.mail.fl_str_mv info@rcaap.pt
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