Hopf Differentials and the Images of Harmonic Maps
arXiv:math/0005276
Abstract
Non-polynomial growth harmonic maps from the complex plane to the hyperbolic space are studied. Some non-surjectivity results are obtained. Moreover, images of such harmonic maps are investigated with reference to their Hopf differentials.
49 pages, 7 groups of figures, revised edition, no offset problem. To appear in Communication Analysis and Geometry