Gauss maps of translating solitons of mean curvature flow

Bao, Chao; Shi, Yuguang

doi:10.1090/S0002-9939-2014-12209-X

Gauss maps of translating solitons of mean curvature flow
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by Chao Bao and Yuguang Shi

Proc. Amer. Math. Soc. 142 (2014), 4333-4339

DOI: https://doi.org/10.1090/S0002-9939-2014-12209-X

Published electronically: August 13, 2014

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Abstract:

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

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