Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem

Matilde Martínez, Shigenori Matsumoto, Alberto Verjovsky

We study the dynamics of the geodesic and horocycle flows of the unit tangent bundle $(\hat{M},T^1\mathcal{F})$ of a compact minimal lamination $(M,\mathcal{F})$ by negatively curve…