Positive topological entropy for semi-Riemannian geodesic flows

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorWenxian , Shen-
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorDias, João Lopes-
Autor(es): dc.creatorMatias, Pedro-
Autor(es): dc.creatorTorres, Maria Joana-
Data de aceite: dc.date.accessioned2026-08-11T12:26:12Z-
Data de disponibilização: dc.date.available2026-08-11T12:26:12Z-
Data de envio: dc.date.issued2025-10-26-
Data de envio: dc.date.issued2025-10-26-
Data de envio: dc.date.issued2024-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/20394-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/20394-
Descrição: dc.descriptionWe 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.-
Descrição: dc.descriptionThe 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.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherAmerican Mathematical Society-
Relação: dc.relationMeans and Extremes in Dynamical Systems-
Relação: dc.relationCentre for Mathematics of the University of Porto-
Relação: dc.relationCentre of Mathematics of the University of Minho-
Relação: dc.relationUID/00013-
Relação: dc.relationhttps://www.ams.org/journals/proc/2025-153-09/S0002-9939-2025-17337-3/-
Direitos: dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/-
Palavras-chave: dc.subjectSemi-Riemannian manifolds-
Palavras-chave: dc.subjectClosed geodesics-
Palavras-chave: dc.subjectTopological entropy-
Palavras-chave: dc.subjectHyperbolic sets-
Título: dc.titlePositive topological entropy for semi-Riemannian geodesic flows-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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