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

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

1996-04-23

arxiv.org/abs/math/9604225v1

Mathematics

Differential Geometry

Scientific paper

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

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