A Bernstein Type Theorem For Self-similar Shrinkers
Differential Geometry
2009-12-10 v1 Analysis of PDEs
Abstract
In this note, we prove that smooth self-shrinkers in , that are entire graphs, are hyperplanes. Previously Ecker and Huisken showed that smooth self-shrinkers, that are entire graphs and have at most polynomial growth, are hyperplanes. The point of this note is that no growth assumption at infinity is needed.
Cite
@article{arxiv.0912.1809,
title = {A Bernstein Type Theorem For Self-similar Shrinkers},
author = {Lu Wang},
journal= {arXiv preprint arXiv:0912.1809},
year = {2009}
}
Comments
7 pages