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math.DG2006★ 1 cited
Comparing Corresponding Dihedral Angles on Classical Geometric Simplices
Thomas Kwok-keung Au, Feng Luo, Richard Stong
In this article, we prove a theorem comparing the dihedral angles of simplices in the hyperbolic, spherical and Euclidean geometries.
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★ 1 cited
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…