Publication
Positive topological entropy for semi-Riemannian geodesic flows
| datacite.subject.fos | Engenharia e Tecnologia | |
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Dias, João Lopes | |
| dc.contributor.author | Matias, Pedro | |
| dc.contributor.author | Torres, Maria Joana | |
| dc.contributor.editor | Wenxian , Shen | |
| dc.date.accessioned | 2025-10-27T18:28:19Z | |
| dc.date.available | 2025-10-27T18:28:19Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We consider a semi-Riemannian metric whose associated geodesic flow either contains a non-hyperbolic periodic orbit or has infinitely many hyperbolic periodic orbits. Under some conditions, we show that the metric can be perturbed such that the geodesic flow exhibits positive topological entropy, there are infinitely many non-lightlike closed geodesics, and their number grows exponentially with respect to the length. | eng |
| dc.description.sponsorship | The first author was partially funded by the projects “Means and Extremes in Dynamical Systems” PTDC/MAT-PUR/4048/2021 and UID/00144: Centro de Matemática da Universidade do Porto (CMUP), the second author by the project CEMAPRE/REM - UIDB/05069/2020, and the fourth author by the project UID/00013: Centro de Matemática da Universidade do Minho (CMAT/UM). All these projects were financed by Fundação para a Ciência e a Tecnologia, Portugal. The third author was partially funded by project FilmEU+ Ref. 101124314 ERASMUS-EDU-2023-EUR-UNIV. This project is financed by the Erasmus+ Programme of the European Union. | |
| dc.identifier.doi | 10.1090/proc/17337 | |
| dc.identifier.eissn | 1088-6826 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/20394 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | American Mathematical Society | |
| dc.relation | Means and Extremes in Dynamical Systems | |
| dc.relation | Centre for Mathematics of the University of Porto | |
| dc.relation | Centre of Mathematics of the University of Minho | |
| dc.relation.hasversion | https://www.ams.org/journals/proc/2025-153-09/S0002-9939-2025-17337-3/ | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.subject | Semi-Riemannian manifolds | |
| dc.subject | Closed geodesics | |
| dc.subject | Topological entropy | |
| dc.subject | Hyperbolic sets | |
| dc.title | Positive topological entropy for semi-Riemannian geodesic flows | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Means and Extremes in Dynamical Systems | |
| oaire.awardTitle | Centre for Mathematics of the University of Porto | |
| oaire.awardTitle | Centre of Mathematics of the University of Minho | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/Concurso de Projetos IC&DT em Todos os Domínios Científicos/PTDC%2FMAT-PUR%2F4048%2F2021/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00144%2F2019/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00013%2F2013/PT | |
| oaire.citation.endPage | 3998 | |
| oaire.citation.startPage | 3987 | |
| oaire.citation.title | Proceedings of the American Mathematical Society | |
| oaire.citation.volume | 153 | |
| oaire.fundingStream | Concurso de Projetos IC&DT em Todos os Domínios Científicos | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Bessa | |
| person.familyName | Dias | |
| person.familyName | Matias | |
| person.familyName | Torres | |
| person.givenName | Mário | |
| person.givenName | João Lopes | |
| person.givenName | Pedro | |
| person.givenName | Maria Joana | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.ciencia-id | A01A-369C-B7B3 | |
| person.identifier.ciencia-id | 4612-CB41-300A | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0002-2089-7308 | |
| person.identifier.orcid | 0000-0002-2243-0541 | |
| person.identifier.orcid | 0000-0002-3673-5776 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
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