二次微分的粗细分解
Thick-thin decomposition for quadratic differentials
摘要：
我们比较了平面几何与二次微分与双曲几何相关的基本黎曼曲面。我们表明，如果一条曲线是包含在一个厚厚的地下，那么它的双曲长度是可比的，它的平面长度乘以平面大小的地下。
英文摘要：
We compare the flat geometry associated to a quadratic differential with the hyperbolic geometry associated to the underlying Riemann surface. We show that if a curve is contained in a thick subsurface, then its hyperbolic length is comparable to its flat length times the flat size of the subsurface.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
