1
$\begingroup$

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?

Improve this question
$\endgroup$
2
  • $\begingroup$ seems enough to show that u is analytic? $\endgroup$
    – zalver
    Commented Sep 3, 2011 at 3:14
  • $\begingroup$ Found a proof. Show u is harmonic. $\endgroup$
    – zalver
    Commented Sep 3, 2011 at 5:19

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .