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arxiv: math/0005276 · v3 · submitted 2000-05-30 · 🧮 math.DG

Hopf Differentials and the Images of Harmonic Maps

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keywords harmonicmapsdifferentialshopfimagescomplexgrowthhyperbolic
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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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