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Remarks on Bernstein theorems for translating solitons
classification
🧮 math.DG
math.AP
keywords
bernsteintranslatinggivesolitonstheoremballsbombieri-decondition
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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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