Subsequent Singularities in Mean-Convex Mean Curvature Flow
Differential Geometry
2016-02-22 v3
Abstract
We use Ilmanen's elliptic regularization to prove that for an initially smooth mean convex hypersurface in Euclidean n-space moving by mean curvature flow, the surface is very nearly convex in a spacetime neighborhood of every singularity. Previously this was known only (i) for n < 7, and (ii) for arbitrary n up to the first singular time.
Keywords
Cite
@article{arxiv.1103.1469,
title = {Subsequent Singularities in Mean-Convex Mean Curvature Flow},
author = {Brian White},
journal= {arXiv preprint arXiv:1103.1469},
year = {2016}
}
Comments
12 pages. Revised version (2013): some additional explanatory material added at the end