A Bernstein type theorem for minimal hypersurfaces via Gauss maps

Qi Ding

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arXiv · 1803.07132

A Bernstein type theorem for minimal hypersurfaces via Gauss maps

Qi Ding

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Abstract

Let $M$ be an $n$-dimensional smooth oriented complete embedded minimal hypersurface in $\mathbb{R}^{n+1}$ with Euclidean volume growth. We show that if the image under the Gauss map of $M$ avoids some neighborhood of a half-equator, then $M$ must be an affine hyperplane.

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Qi Ding. 2018-03-19. A Bernstein type theorem for minimal hypersurfaces via Gauss maps. https://arxiv.org/abs/1803.07132

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