论文标题
用于准对称地图的剪切
Shears for quasisymmetric maps
论文作者
论文摘要
我们给出了一个定理的基本证明,该定理表征了单位圆的准对称图,以福里底层的剪切坐标为角度。证明仅使用正常的家庭论证来用于准对称地图和一些基本双曲几何形状。
We give an elementary proof of a theorem that characterizes quasisymmetric maps of the unit circle in terms of shear coordinates on the Farey tesselation. The proof only uses the normal family argument for quasisymmetric maps and some elementary hyperbolic geometry.