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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.DG2001
Harmonic maps and the topology of conformally compact Einstein manifolds
Naichung Conan Leung, Tom Yau-heng Wan
We study the topology of a complete asymptotically hyperbolic Einstein manifold such that its conformal boundary has positive Yamabe invariant. We proved that all maps from such ma…
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…