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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2016

Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology

Résumé

We consider a minimal compact lamination by hyperbolic surfaces. We prove that if it admits a leaf whose holonomy covering is not topologically trivial, then the horocycle flow on its unitary tangent bundle is minimal.

Dates et versions

hal-01111018 , version 1 (29-01-2015)

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Citer

Fernando Alcalde, Françoise Dal'Bo-Milonet, Matilde Martínez, Alberto Verjovsky. Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology. Discrete and Continuous Dynamical Systems - Series A, 2016, 36 (9), pp.4619-4635. ⟨10.3934/dcds.2016001⟩. ⟨hal-01111018⟩
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