Smooth compactness of self-shrinkers
Differential Geometry
2009-07-16 v1
Abstract
We prove a smooth compactness theorem for the space of embedded self-shrinkers in . Since self-shrinkers model singularities in mean curvature flow, this theorem can be thought of as a compactness result for the space of all singularities and it plays an important role in studying generic mean curvature flow.
Cite
@article{arxiv.0907.2594,
title = {Smooth compactness of self-shrinkers},
author = {Tobias H. Colding and William P. Minicozzi},
journal= {arXiv preprint arXiv:0907.2594},
year = {2009}
}