English

Asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces

Differential Geometry 2014-11-07 v3

Abstract

In this paper, we introduce a monotonicity formula for the mean curvature flow which is related to self-expanders. Then we use the monotonicity to study the asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces.

Keywords

Cite

@article{arxiv.1403.0235,
  title  = {Asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces},
  author = {Liang Cheng and Natasa Sesum},
  journal= {arXiv preprint arXiv:1403.0235},
  year   = {2014}
}

Comments

10 pages, a global version of functional is introduced, more applications are found