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

DOI10.3934/dcds.2016001zbMath1366.37064arXiv1412.3259OpenAlexW2963878530MaRDI QIDQ321573

Matilde Martínez, Fernando Alcalde Cuesta, Françoise Dal'Bo, Alberto Verjovsky

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3259

zbMATH Keywords

hyperbolic surfacehorocycle flowhyperbolic laminationgeometrically infinite surface

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces ⋮ Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem ⋮ Topology of leaves for minimal laminations by hyperbolic surfaces ⋮ Free orbits for minimal actions on the circle ⋮ Low-dimensional solenoidal manifolds ⋮ Corrigendum to ``Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology ⋮ Uniformization of compact foliated spaces by surfaces of hyperbolic type via the Ricci flow ⋮ Remarks on the horocycle flows for foliations by hyperbolic surfaces ⋮ On the construction of minimal foliations by hyperbolic surfaces on 3-manifolds

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