English

A local noncollapsing estimate for mean curvature flow

Differential Geometry 2022-07-14 v3

Abstract

We prove a local version of the noncollapsing estimate for mean curvature flow. By combining our result with earlier work of X.-J. Wang, it follows that certain ancient convex solutions that sweep out the entire space are noncollapsed.

Keywords

Cite

@article{arxiv.2103.15641,
  title  = {A local noncollapsing estimate for mean curvature flow},
  author = {Simon Brendle and Keaton Naff},
  journal= {arXiv preprint arXiv:2103.15641},
  year   = {2022}
}

Comments

final version, to appear Amer. J. Math

R2 v1 2026-06-24T00:39:07.326Z