English

An estimate for the Gauss curvature of minimal surfaces in $\mathbb R^m$ whose Gauss map omits a set of hyperplanes

Differential Geometry 2008-02-03 v1

Abstract

We give an estimate of the Gauss curvature for minimal surfaces in Rm{\mathbb R}^m whose Gauss map omits more than m(m+1)/2m(m+1)/2 hyperplanes in Pm1(C){\mathbb P}^{m-1}({\mathbb C}).

Keywords

Cite

@article{arxiv.math/9604225,
  title  = {An estimate for the Gauss curvature of minimal surfaces in $\mathbb R^m$ whose Gauss map omits a set of hyperplanes},
  author = {Robert Osserman and Min Ru},
  journal= {arXiv preprint arXiv:math/9604225},
  year   = {2008}
}