Value distribution for the Gauss maps of various classes of surfaces
Differential Geometry
2017-07-14 v1 Complex Variables
Abstract
We present in this article a survey of recent results in value distribution theory for the Gauss maps of several classes of immersed surfaces in space forms, for example, minimal surfaces in Euclidean -space (=3 or 4), improper affine spheres in the affine 3-space and flat surfaces in hyperbolic 3-space. In particular, we elucidate the geometric background of their results.
Keywords
Cite
@article{arxiv.1707.04118,
title = {Value distribution for the Gauss maps of various classes of surfaces},
author = {Yu Kawakami},
journal= {arXiv preprint arXiv:1707.04118},
year = {2017}
}
Comments
15 pages, review paper. arXiv admin note: text overlap with arXiv:1311.1931, arXiv:1205.4782, arXiv:1606.02376