几何有限双曲曲面的单边Horocycle的稠密性和等分布性
Density and Equidistribution of One-Sided Horocycles of a Geometrically Finite Hyperbolic Surface
摘要：
在几何有限的负曲面上，给出了单侧单圈$(h^s u)_{s\ge 0}$在测地流的非游荡集中稠密的充要条件.我们证明了所有稠密的单侧轨道$(h^su)_{s\ge 0}$都是等分布的，推广了[Bu]和[Scha 2]中考虑对称的单圈$(h^su)_{s\in\R}$的结果.
英文摘要：
On geometrically finite negatively curved surfaces, we give necessary and sufficient conditions for a one-sided horocycle $(h^s u)_{s\ge 0}$ to be dense in the nonwandering set of the geodesic flow. We prove that all dense one-sided orbits $(h^su)_{s\ge 0}$ are equidistributed, extending results of [Bu] and [Scha2] where symmetric horocycles $(h^su)_{s\in\R}$ were considered.
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