Hopf Differentials and the Images of Harmonic Maps
Differential Geometry
2007-05-23 v3
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.
Cite
@article{arxiv.math/0005276,
title = {Hopf Differentials and the Images of Harmonic Maps},
author = {Thomas Kwok-keung Au and Luen-fai Tam and Tom Yau-heng Wan},
journal= {arXiv preprint arXiv:math/0005276},
year = {2007}
}
Comments
49 pages, 7 groups of figures, revised edition, no offset problem. To appear in Communication Analysis and Geometry