English

A Bernstein type theorem for graphic self-shrinkers with flat normal bundle

Differential Geometry 2012-04-19 v1 Analysis of PDEs

Abstract

In this note we will prove that an nn dimensional graphic self-shrinker in Rn+mR^{n+m} with flat normal bundle is a linear subspace. This result is a generalization of the corresponding result of Lu Wang in codimension one case.

Keywords

Cite

@article{arxiv.1204.4057,
  title  = {A Bernstein type theorem for graphic self-shrinkers with flat normal bundle},
  author = {Yong Luo},
  journal= {arXiv preprint arXiv:1204.4057},
  year   = {2012}
}
R2 v1 2026-06-21T20:51:22.548Z