Publication
Stable weakly shadowable volume-preserving systems are volume-hyperbolic
dc.contributor.author | Bessa, Mário | |
dc.contributor.author | Lee, Manseob | |
dc.contributor.author | Vaz, Sandra | |
dc.date.accessioned | 2022-11-21T16:10:14Z | |
dc.date.available | 2022-11-21T16:10:14Z | |
dc.date.issued | 2014-05-15 | |
dc.description.abstract | 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. | pt_PT |
dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
dc.identifier.citation | Bessa, M., Lee, M. & Vaz, S. Stable weakly shadowable volume-preserving systems are volume-hyperbolic. Acta. Math. Sin.-English Ser. 30, 1007–1020 (2014). https://doi.org/10.1007/s10114-014-3093-8 | pt_PT |
dc.identifier.doi | 10.1007/s10114-014-3093-8 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10400.6/12421 | |
dc.language.iso | eng | pt_PT |
dc.peerreviewed | yes | pt_PT |
dc.relation | Strategic Project - UI 212 - 2011-2012 | |
dc.subject | Weak shadowin | pt_PT |
dc.subject | Dominated splitting | pt_PT |
dc.subject | Hyperbolicity | pt_PT |
dc.title | Stable weakly shadowable volume-preserving systems are volume-hyperbolic | pt_PT |
dc.type | journal article | |
dspace.entity.type | Publication | |
oaire.awardTitle | Strategic Project - UI 212 - 2011-2012 | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT | |
oaire.citation.endPage | 1020 | pt_PT |
oaire.citation.issue | 6 | pt_PT |
oaire.citation.startPage | 1007 | pt_PT |
oaire.citation.title | Acta Mathematica Sinica, English Series | pt_PT |
oaire.citation.volume | 30 | pt_PT |
oaire.fundingStream | 6817 - DCRRNI ID | |
person.familyName | Bessa | |
person.familyName | Lee | |
person.familyName | Vaz | |
person.givenName | Mário | |
person.givenName | Manseob | |
person.givenName | Sandra | |
person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
person.identifier | 1931565 | |
person.identifier.ciencia-id | C21A-EEC0-A3EF | |
person.identifier.ciencia-id | 2D10-D257-281D | |
person.identifier.orcid | 0000-0002-1758-2225 | |
person.identifier.orcid | 0000-0001-9701-6508 | |
person.identifier.orcid | 0000-0002-1507-2272 | |
person.identifier.rid | AFT-2191-2022 | |
person.identifier.scopus-author-id | 35731951700 | |
person.identifier.scopus-author-id | 56150121900 | |
project.funder.identifier | http://doi.org/10.13039/501100001871 | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
rcaap.rights | openAccess | pt_PT |
rcaap.type | article | pt_PT |
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