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arxiv: 1412.3259 · v3 · pith:KROA7HOPnew · submitted 2014-12-10 · 🧮 math.DS

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

classification 🧮 math.DS
keywords flowhorocyclehyperbolicminimalsurfacesadmitsbundlecompact
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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.

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