Publication
A Note on Expansiveness and Hyperbolicity for Generic Geodesic Flows
| dc.contributor.author | Bessa, Mario | |
| dc.date.accessioned | 2020-02-05T15:54:58Z | |
| dc.date.available | 2020-02-05T15:54:58Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this short note we contribute to the generic dynamics of geodesic flows associated to metrics on compact Riemannian manifolds of dimension ≥ 2. We prove that there exists a C2-residual subset R of metrics on a given compact Riemannian manifold such tha tif g∈R,then its associated geodesic flow φgt is expansive if and only if the closure of the set of periodic orbits of φgt is a uniformly hyperbolic set. For surfaces, we obtain a stronger statement: there exists a C2-residual R such that if g ∈ R, then its associated geodesic flow φgt is expansive if and only if φgt is an Anosov flow. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | https://doi.org/10.1007/s11040-018-9271-7 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9036 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.subject | Expansiveness | pt_PT |
| dc.subject | Residual sets | pt_PT |
| dc.subject | Anosov | pt_PT |
| dc.subject | Geodesic flows | pt_PT |
| dc.title | A Note on Expansiveness and Hyperbolicity for Generic Geodesic Flows | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT | |
| oaire.citation.title | Mathematical Physics, Analysis and Geometry | pt_PT |
| oaire.fundingStream | 5876 | |
| person.familyName | Bessa | |
| person.givenName | Mário | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.embargofct | Copyright cedido à editora no momento da publicação | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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