Conformal rigidity of Riemann surfaces.
Conformal rigidity of Riemann surfaces.
The following theorem of T. Rad6 [3] is well-known:Let $G$ be a planar region bounded by $n(\geqq 2)$ Jordan curves $C_{1}$ , $C_{n}$ , and $G^{\prime}$ be a proper subregion of $Gboun\underline{d}ed$ by $n$ Jordan curves $C_{1}^{\prime},$ $\cdots,$ $C_{n}^{\prime}$ , such that $C_{k}^{\prime}$ is homotopic to $C_{k}$ in $G(k=1, \cdots, …