论文标题
没有异国情调的梯子表面
There are no exotic ladder surfaces
论文作者
论文摘要
这是一个开放的问题，可以提供准表面均匀riemann表面的表征。我们表明，鉴于当前的文献，就基础表面的拓扑而言，该问题可以分为四个开放式案例。主要结果是在这些开放案例之一中进行表征。特别是，我们证明每个准表面均匀的梯子表面都与封闭表面的常规覆盖物相等（或者，换句话说，没有异国情调的梯子表面）。
It is an open problem to provide a characterization of quasiconformally homogeneous Riemann surfaces. We show that given the current literature, this problem can be broken into four open cases with respect to the topology of the underlying surface. The main result is a characterization in one of the these open cases; in particular, we prove that every quasiconformally homogeneous ladder surface is quasiconformally equivalent to a regular cover of a closed surface (or, in other words, there are no exotic ladder surfaces).
