开Riemann曲面与其光滑覆盖面是共形同胚的充要条件

A Necessary and Sufftcient Condition for Conformal Equivalence of an Open Riemann Surface and Its Smooth Covering Surface

我们得到开Riemann曲面与其光滑覆盖曲面为共形同胚的一个充要条件,不先要求覆盖面是正则的.并且给出在函数论上的应用.

We obtain a necessary and sufficient condition for conformal equivalence of an open Riemann surface and its smooth covering surface without pre- requisite of the regularity of the covering surface. Two applications to function theory are also giv-en。