Singularity structure in mean curvature flow of mean convex sets
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
In this note we announce results on the mean curvature flow of mean convex sets in 3-dimensions. Loosely speaking, our results justify the naive picture of mean curvature flow where the only singularities are neck pinches, and components which collapse to asymptotically round spheres.
Cite
@article{arxiv.math/0310242,
title = {Singularity structure in mean curvature flow of mean convex sets},
author = {Tobias H. Colding and Bruce Kleiner},
journal= {arXiv preprint arXiv:math/0310242},
year = {2007}
}