Gauss map of a harmonic surface

2011/03/08 by David Kalaj, Kalaj, David
Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG

paper · pdf · doi:10.48550/arxiv.1103.1576

9 pages

arxiv created 2011/03/08 · arxiv updated 2011/03/09

Abstract

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 K quasiregular if and only if the surface is 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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