Density and Equidistribution of One-sided Horocycles of a Geometrically Finite Hyperbolic Surface
نویسنده
چکیده
On geometrically finite negatively curved surfaces, we give necessary and sufficient conditions for a one-sided horocycle (hu)s≥0 to be dense in the nonwandering set of the geodesic flow. We prove that all dense one-sided orbits (hu)s≥0 are equidistributed, extending results of [Bu] and [Scha2] where symmetric horocycles (hu)−R≤s≤R were considered.
منابع مشابه
Density and equidistribution of half-horocycles on a geometrically finite hyperbolic surface
On geometrically finite negatively curved surfaces, we give necessary and sufficient conditions for a one-sided horocycle (hu)s≥0 to be dense in the nonwandering set of the horocyclic flow. We prove that all dense one-sided orbits (hu)s≥0 are equidistributed, extending results of [Bu] and [Scha2] where symmetric horocycles (hu)−R≤s≤R were considered.
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