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

Min Ru; Robert Osserman

arxiv: math/9604225 · v1 · submitted 1996-04-23 · 🧮 math.DG

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

Robert Osserman , Min Ru This is my paper

classification 🧮 math.DG

keywords gaussmathbbcurvatureestimatehyperplanesminimalomitssurfaces

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

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