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arXiv · 1412.3259

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

Fernando Alcalde·Françoise Dal'Bo·Matilde Martínez·Alberto Verjovsky
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Abstract

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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Fernando Alcalde, Françoise Dal'Bo, Matilde Martínez, Alberto Verjovsky. 2014-12-10. Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology. https://arxiv.org/abs/1412.3259

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