The Gauss map of a harmonic surface

We prove that the distortion function of the Gauss map of a surface parametrized by harmonic coordinates coincides with the distortion function of the parametrization. Consequently, the Gauss map of a harmonic surface is K quasiconformal if and only if its harmonic parametrization is K quasiconformal, provided that the Gauss map is regular or what is shown to be the same, provided that the surface is non-planar. This generalizes the classical result that the Gauss map of a minimal surface is a conformal mapping.