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

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.

preprint2016arXivOpen access
Fernando AlcaldeFrançoise Dal'BoMatilde MartínezAlberto Verjovsky
math.DS
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Open access4 authors1 topic
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Fernando AlcaldeFrançoise Dal'BoMatilde MartínezAlberto Verjovsky

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