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

Published 10 Dec 2014 in math.DS | (1412.3259v3)

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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