English

Convexity estimates for mean curvature flow with free boundary

Differential Geometry 2016-06-13 v2

Abstract

We prove the convexity estimates of Huisken-Sinestrari for finite-time singularities of mean-convex, mean curvature flow with free boundary in a barrier SS. Here SS can be any properly embedded, oriented surface in Rn+1R^{n+1} of bounded geometry. We also give an alternative proof that convex mean curvature flows with free boundary in SnS^n pinch to umbilic.

Keywords

Cite

@article{arxiv.1411.3864,
  title  = {Convexity estimates for mean curvature flow with free boundary},
  author = {Nick Edelen},
  journal= {arXiv preprint arXiv:1411.3864},
  year   = {2016}
}