Partial hyperbolicity for symplectic diffeomorphisms

Detalhes bibliográficos
Autor(a) principal: Horita, Vanderlei
Data de Publicação: 2006
Outros Autores: Tahzibi, Ali
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.anihpc.2005.06.002
http://hdl.handle.net/11449/37436
Resumo: We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a compact manifold admits a dominated splitting. In fact, these diffeomorphisms are partially hyperbolic. (c) 2005 Elsevier SAS. All rights reserved.
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spelling Partial hyperbolicity for symplectic diffeomorphismspartial hyperbolicitydominated splittingsymplectic diffeomorphismsrobust transitivitystable ergodicityWe prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a compact manifold admits a dominated splitting. In fact, these diffeomorphisms are partially hyperbolic. (c) 2005 Elsevier SAS. All rights reserved.Univ Estadual Paulista, Dept Matemat, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUSP, Dept Matemat & Comp, ICMC, BR-13560320 Sao Carlos, SP, BrazilUniv Estadual Paulista, Dept Matemat, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, BrazilElsevier B.V.Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Horita, VanderleiTahzibi, Ali2014-05-20T15:27:28Z2014-05-20T15:27:28Z2006-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article641-661application/pdfhttp://dx.doi.org/10.1016/j.anihpc.2005.06.002Annales de L Institut Henri Poincare-analyse Non Lineaire. Paris: Gauthier-villars/editions Elsevier, v. 23, n. 5, p. 641-661, 2006.0294-1449http://hdl.handle.net/11449/3743610.1016/j.anihpc.2005.06.002WOS:000241131100003WOS000241131100003.pdf0000-0002-9304-0655Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAnnales de L Institut Henri Poincare-analyse Non Lineaire2.4212,817info:eu-repo/semantics/openAccess2024-01-13T06:30:54Zoai:repositorio.unesp.br:11449/37436Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:49:27.431273Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Partial hyperbolicity for symplectic diffeomorphisms
title Partial hyperbolicity for symplectic diffeomorphisms
spellingShingle Partial hyperbolicity for symplectic diffeomorphisms
Horita, Vanderlei
partial hyperbolicity
dominated splitting
symplectic diffeomorphisms
robust transitivity
stable ergodicity
title_short Partial hyperbolicity for symplectic diffeomorphisms
title_full Partial hyperbolicity for symplectic diffeomorphisms
title_fullStr Partial hyperbolicity for symplectic diffeomorphisms
title_full_unstemmed Partial hyperbolicity for symplectic diffeomorphisms
title_sort Partial hyperbolicity for symplectic diffeomorphisms
author Horita, Vanderlei
author_facet Horita, Vanderlei
Tahzibi, Ali
author_role author
author2 Tahzibi, Ali
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Horita, Vanderlei
Tahzibi, Ali
dc.subject.por.fl_str_mv partial hyperbolicity
dominated splitting
symplectic diffeomorphisms
robust transitivity
stable ergodicity
topic partial hyperbolicity
dominated splitting
symplectic diffeomorphisms
robust transitivity
stable ergodicity
description We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a compact manifold admits a dominated splitting. In fact, these diffeomorphisms are partially hyperbolic. (c) 2005 Elsevier SAS. All rights reserved.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01
2014-05-20T15:27:28Z
2014-05-20T15:27:28Z
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://dx.doi.org/10.1016/j.anihpc.2005.06.002
Annales de L Institut Henri Poincare-analyse Non Lineaire. Paris: Gauthier-villars/editions Elsevier, v. 23, n. 5, p. 641-661, 2006.
0294-1449
http://hdl.handle.net/11449/37436
10.1016/j.anihpc.2005.06.002
WOS:000241131100003
WOS000241131100003.pdf
0000-0002-9304-0655
url http://dx.doi.org/10.1016/j.anihpc.2005.06.002
http://hdl.handle.net/11449/37436
identifier_str_mv Annales de L Institut Henri Poincare-analyse Non Lineaire. Paris: Gauthier-villars/editions Elsevier, v. 23, n. 5, p. 641-661, 2006.
0294-1449
10.1016/j.anihpc.2005.06.002
WOS:000241131100003
WOS000241131100003.pdf
0000-0002-9304-0655
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Annales de L Institut Henri Poincare-analyse Non Lineaire
2.421
2,817
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 641-661
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129465746718720

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