Hopf Differentials and the Images of Harmonic Maps

Details Hopf Differentials and the Images of Harmonic Maps Hopf Differentials and the Images of Harmonic Maps

2000-05-30

arxiv.org/abs/math/0005276v3

Mathematics

Differential Geometry

49 pages, 7 groups of figures, revised edition, no offset problem. To appear in Communication Analysis and Geometry

Scientific paper

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.

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