Gauss map of a harmonic surface

Details Gauss map of a harmonic surface Gauss map of a harmonic surface

2011-03-08

arxiv.org/abs/1103.1576v1

Mathematics

Differential Geometry

9 pages

Scientific paper

We prove that the distortion function of the Gauss map of a harmonic surface
coincides with the distortion function of the surface. Consequently, Gauss map
of a harmonic surface is ${\mathcal{K}}$ quasiregular if and only if the
surface is ${\mathcal{K}}$ quasiregular, provided that the Gauss map is regular
or what is shown to be the same, provided that the surface is non-planar.

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