English

A simple proof for Bernstein type theorems in Gauss space

Differential Geometry 2018-03-02 v1

Abstract

A weighted area estimate for entire graphs with bounded weighted mean curvature in Gauss space is given by a simple proof. Bernstein type theorems for self shrinkers (\cite {wa}) as well as for graphic λ\lambda-hypersurfaces (\cite{ chwe2}) follow immediately as consequences.

Keywords

Cite

@article{arxiv.1803.00278,
  title  = {A simple proof for Bernstein type theorems in Gauss space},
  author = {Doan The Hieu},
  journal= {arXiv preprint arXiv:1803.00278},
  year   = {2018}
}
R2 v1 2026-06-23T00:37:53.153Z