Page 1 of 1

Are These Sets Biholomorphic?

Posted: Tue Sep 27, 2016 5:25 pm
by Tsakanikas Nickos
Denote by $A_{R}$ the round annulus \[ \left\{ \, z \in \mathbb{C} \ \big| \ 1<|z|<R \, \right\} \]If $r \neq s$, are the annuli $A_{r}$ and $A_{s}$ conformally equivalent?