Publication
A note on expansiveness and hyperbolicity for generic geodesic flows
| dc.contributor.author | Bessa, Mário | |
| dc.date.accessioned | 2023-05-26T10:09:54Z | |
| dc.date.available | 2023-05-26T10:09:54Z | |
| 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 that if g∈R, then its associated geodesic flow φ_g(t) 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 φ_g(t) is an Anosov flow. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M. Bessa, A Note on Expansiveness and Hyperbolicity for Generic Geodesic Flows, Mathematical Physics, Analysis and Geometry, 21, 2, 2018 | pt_PT |
| dc.identifier.doi | 10.1007/s11040-018-9271-7 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13858 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation | Center of Mathematics and Applications of University of Beira Interior | |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s11040-018-9271-7 | 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.awardTitle | Center of Mathematics and Applications of University of Beira Interior | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2013/PT | |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.title | Mathematical Physics, Analysis and Geometry | pt_PT |
| oaire.citation.volume | 21 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| 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.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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