Quantitative long range curvature estimate for mean curvature flow

Jingze Zhu

Quantitative long range curvature estimate for mean curvature flow

Differential Geometry 2021-08-27 v1

Authors: Jingze Zhu

Abstract

We prove that smooth convex $\alpha$ -noncollapsed ancient mean curvature flow satisfies a quantitative curvature estimate $H(y,t)\leq CH(x,t)(H(x,t)|x-y|+1)^2$ for any pair of $x,y$ . In other words, the rescaled curvature grows at most quadratically in terms of the rescaled extrinsic distance.

Keywords

mean curvature flow curvature flow

Cite

@article{arxiv.2108.11852,
  title  = {Quantitative long range curvature estimate for mean curvature flow},
  author = {Jingze Zhu},
  journal= {arXiv preprint arXiv:2108.11852},
  year   = {2021}
}

Related papers

View all related →