A note on expansiveness and hyperbolicity for generic geodesic flows

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBessa, Mário-
Data de aceite: dc.date.accessioned2025-08-22T11:44:37Z-
Data de disponibilização: dc.date.available2025-08-22T11:44:37Z-
Data de envio: dc.date.issued2023-05-26-
Data de envio: dc.date.issued2023-05-26-
Data de envio: dc.date.issued2018-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13858-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13858-
Descrição: dc.descriptionIn 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.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-
Relação: dc.relationCenter of Mathematics and Applications of University of Beira Interior-
Relação: dc.relationhttps://link.springer.com/article/10.1007/s11040-018-9271-7-
Palavras-chave: dc.subjectExpansiveness-
Palavras-chave: dc.subjectResidual sets-
Palavras-chave: dc.subjectAnosov-
Palavras-chave: dc.subjectGeodesic flows-
Título: dc.titleA note on expansiveness and hyperbolicity for generic geodesic flows-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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