Remarks on Bernstein theorems for translating solitons
Abstract
In this paper, we study the properties of potential function of the translating soliton M in Rn+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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