Mean curvature blow up in mean curvature flow
Differential Geometry
2010-05-25 v4
Abstract
In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds are characterised by the blow up of the mean curvature.
Keywords
Cite
@article{arxiv.0902.4282,
title = {Mean curvature blow up in mean curvature flow},
author = {Andrew A. Cooper},
journal= {arXiv preprint arXiv:0902.4282},
year = {2010}
}
Comments
This paper has been withdrawn by the author due to an error in the proof of Proposition 3.2, in particular the claim that bounded mean curvature implies uniform-in-time continuity of the metric