Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds
Resumen:
We study conservative partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds. We show that they are always accessible and deduce as a result that every conservative C1+ partially hyperbolic in a hyperbolic 3-manifold must be ergodic, giving an affirmative answer to a conjecture of Hertz-Hertz-Ures in the context of hyperbolic 3-manifolds. We also get some results for general partially hyperbolic diffeomorphisms homotopic to the identity and in some isotopy classes on Seifert manifolds.
| 2022 | |
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Partial hyperbolicity 3-manifold topology Foliations Ergodicity Accessibility |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38418 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522796888129536 |
|---|---|
| author | Fenley, Sergio |
| author2 | Potrie Altieri, Rafael |
| author2_role | author |
| author_facet | Fenley, Sergio Potrie Altieri, Rafael |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Fenley Sergio Potrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. |
| dc.creator.none.fl_str_mv | Fenley, Sergio Potrie Altieri, Rafael |
| dc.date.accessioned.none.fl_str_mv | 2023-07-26T12:41:27Z |
| dc.date.available.none.fl_str_mv | 2023-07-26T12:41:27Z |
| dc.date.issued.none.fl_str_mv | 2022 |
| dc.description.abstract.none.fl_txt_mv | We study conservative partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds. We show that they are always accessible and deduce as a result that every conservative C1+ partially hyperbolic in a hyperbolic 3-manifold must be ergodic, giving an affirmative answer to a conjecture of Hertz-Hertz-Ures in the context of hyperbolic 3-manifolds. We also get some results for general partially hyperbolic diffeomorphisms homotopic to the identity and in some isotopy classes on Seifert manifolds. |
| dc.description.es.fl_txt_mv | Publicado también como: Advances in Mathematics, 2022 , 401: 1-43. DOI: 10.1016/j.aim.2022.108315 |
| dc.format.extent.es.fl_str_mv | 43 h. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Fenley, S y Potrie Altieri, R. "Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2022, arXiv:1809.02284v3, Mar 2022, pp.1-43. |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.1809.02284 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38418 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Dynamical Systems), arXiv:1809.02284v3, mar 2022, pp.1-43 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Partial hyperbolicity 3-manifold topology Foliations Ergodicity Accessibility |
| dc.title.none.fl_str_mv | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Publicado también como: Advances in Mathematics, 2022 , 401: 1-43. DOI: 10.1016/j.aim.2022.108315 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_7b7d87401f4c66bdfd41dde67e7c5f41 |
| identifier_str_mv | Fenley, S y Potrie Altieri, R. "Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2022, arXiv:1809.02284v3, Mar 2022, pp.1-43. 10.48550/arXiv.1809.02284 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/38418 |
| publishDate | 2022 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Fenley SergioPotrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2023-07-26T12:41:27Z2023-07-26T12:41:27Z2022Fenley, S y Potrie Altieri, R. "Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2022, arXiv:1809.02284v3, Mar 2022, pp.1-43.https://hdl.handle.net/20.500.12008/3841810.48550/arXiv.1809.02284Publicado también como: Advances in Mathematics, 2022 , 401: 1-43. DOI: 10.1016/j.aim.2022.108315We study conservative partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds. We show that they are always accessible and deduce as a result that every conservative C1+ partially hyperbolic in a hyperbolic 3-manifold must be ergodic, giving an affirmative answer to a conjecture of Hertz-Hertz-Ures in the context of hyperbolic 3-manifolds. We also get some results for general partially hyperbolic diffeomorphisms homotopic to the identity and in some isotopy classes on Seifert manifolds.Submitted by Egaña Florencia (florega@gmail.com) on 2023-07-25T19:07:39Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1809.02284.pdf: 660371 bytes, checksum: 2ebd7c3b57e7f09d8a171c5246a2afb8 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-07-26T11:08:50Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1809.02284.pdf: 660371 bytes, checksum: 2ebd7c3b57e7f09d8a171c5246a2afb8 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-07-26T12:41:27Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1809.02284.pdf: 660371 bytes, checksum: 2ebd7c3b57e7f09d8a171c5246a2afb8 (MD5) Previous issue date: 202243 h.application/pdfenengarXivMathematics (Dynamical Systems), arXiv:1809.02284v3, mar 2022, pp.1-43Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Partial hyperbolicity3-manifold topologyFoliationsErgodicityAccessibilityErgodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifoldsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaFenley, SergioPotrie Altieri, RafaelLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/38418/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/38418/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds Fenley, Sergio Partial hyperbolicity 3-manifold topology Foliations Ergodicity Accessibility |
| status_str | submittedVersion |
| title | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds |
| title_full | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds |
| title_fullStr | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds |
| title_full_unstemmed | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds |
| title_short | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds |
| title_sort | Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds |
| topic | Partial hyperbolicity 3-manifold topology Foliations Ergodicity Accessibility |
| url | https://hdl.handle.net/20.500.12008/38418 |
