Maybe an easy topology excercise. Say u is a weakly conformal map from a region of complex plane C to C. Then $u_z*{\bar u}_z=0$. How to derive that u is holomorphic or antiholomorphic, i.e. $u_z=0$ or $\bar u_z=0$ globally?

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

By posting your answer, you agree to the privacy policy and terms of service.

asked

4 years ago

viewed

216 times