Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673100 | Indagationes Mathematicae | 2013 | 13 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
David Kalaj,