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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…
math.AP2000
An Analysis on the Shape Equation for Biconcave Axisymmetric Vesicles
Thomas Kwok-keung Au, Tom Yau-heng Wan
We study the conditions on the physical parameters in the Helfrich bending energy of lipid bilayer vesicles. Among embedded surfaces with a biconcave axisymmetric shape, the variat…