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arXiv · 1301.4065

Gauss map of translating solitons of mean curvature flow

Chao Bao·Yuguang Shi
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Abstract

In this short note we study Bernstein's type theorem of translating solitons whose images of their Gauss maps are contained in compact subsets in an open hemisphere of the standard $\mathbf{S}^n$ (see Theorem 1.1). As a special case we get a classical Bernstein's type theorem in minimal submanifolds in $\mathbf{R}^{n+1}$ (see Corollary 1.2).

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Chao Bao, Yuguang Shi. 2013-01-17. Gauss map of translating solitons of mean curvature flow. https://arxiv.org/abs/1301.4065

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