English

Remarks on Bernstein theorems for translating solitons

Differential Geometry 2016-12-13 v2 Analysis of PDEs

Abstract

In this paper, we study the properties of potential function of the translating soliton MM in Rn+1R^{n+1} and the volume growth of the intersection of Euclidean balls with MM. 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.

Keywords

Cite

@article{arxiv.1506.00334,
  title  = {Remarks on Bernstein theorems for translating solitons},
  author = {Li Ma},
  journal= {arXiv preprint arXiv:1506.00334},
  year   = {2016}
}

Comments

new references are added and a sign typo is fixed

R2 v1 2026-06-22T09:44:43.714Z