Riemann's mapping theorem for variable metrics

Geometry Topology Student Seminar
Wednesday, October 23, 2013 - 14:00
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
Consider the Beltrami equation f_{\bar z}=\mu *f_{z}. The prime aim is to investigate f in its dependence on \mu. If \mu depends analytically, differentiably, or continuously on real parameters, the same is true for f; in the case of the plane, the results holds also for complex parameters.