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math.DG2005
Images of Harmonic Maps with Symmetry
Thomas Kwok-keung Au, Tom Yau-heng Wan
We show that under certain symmetry, the images of complete harmonic embeddings from the complex plane into the hyperbolic plane is completely determined by the geometric informati…
math.DG2000
Hopf Differentials and the Images of Harmonic Maps
Thomas Kwok-keung Au, Luen-fai Tam, Tom Yau-heng Wan
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 a…