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Hopf Differentials and the Images of Harmonic Maps

Thomas Kwok-keung Au·Luen-fai Tam·Tom Yau-heng Wan
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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.

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Thomas Kwok-keung Au, Luen-fai Tam, Tom Yau-heng Wan. 2001-02-13. Hopf Differentials and the Images of Harmonic Maps. https://arxiv.org/abs/math/0005276

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