Abstract: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.

---

中文翻译：

---

准对称图的剪切

摘要：我们给出了一个定理的基本证明，该定理用Farey镶嵌上的剪切坐标来表征单位圆的准对称图。该证明仅对拟对称映射和某些基本双曲几何使用法线族参数。

---