$\mathcal{F}$-stability for self-shrinking solutions to mean curvature flow
Differential Geometry
2012-04-24 v1
Abstract
In this paper, we formulate the notion of the -stability of self-shrinking solutions to mean curvature flow in arbitrary codimension. Then we give some classifications of the -stable self-shrinkers in arbitrary codimension, in codimension one case, our results reduce to Colding-Minicozzi's results.
Keywords
Cite
@article{arxiv.1204.5010,
title = {$\mathcal{F}$-stability for self-shrinking solutions to mean curvature flow},
author = {Ben Andrews and Haizhong Li and Yong Wei},
journal= {arXiv preprint arXiv:1204.5010},
year = {2012}
}
Comments
23 pages