%0 Journal Article
%T Univalence Criteria for Lifts of Harmonic Mappings to Minimal Surfaces
%A M. Chuaqui
%A P. Duren
%A B. Osgood
%J Mathematics
%D 2006
%I arXiv
%X A general criterion in terms of the Schwarzian derivative is given for global univalence of the Weierstrass--Enneper lift of a planar harmonic mapping. Results on distortion and boundary regularity are also deduced. Examples are given to show that the criterion is sharp. The analysis depends on a generalized Schwarzian defined for conformal metrics and on a Schwarzian introduced by Ahlfors for curves. Convexity plays a central role.
%U http://arxiv.org/abs/math/0607063v1