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arXiv · 1506.00334

Remarks on Bernstein theorems for translating solitons

Li Ma
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Abstract

In this paper, we study the properties of potential function of the translating soliton $M$ in $R^{n+1}$ and the volume growth of the intersection of Euclidean balls with $M$. We give a condition to obtain the Bernstein theorem for the translating solitons. We also give an outline of a simple proof of the Bernstein theorem due to Bombieri-De Giorgi-Miranda.

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Li Ma. 2015-06-01. Remarks on Bernstein theorems for translating solitons. https://arxiv.org/abs/1506.00334

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