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arXiv · 1204.5010

$\mathcal{F}$-stability for self-shrinking solutions to mean curvature flow

Ben Andrews·Haizhong Li·Yong Wei
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Abstract

In this paper, we formulate the notion of the $\mathcal{F}$-stability of self-shrinking solutions to mean curvature flow in arbitrary codimension. Then we give some classifications of the $\mathcal{F}$-stable self-shrinkers in arbitrary codimension, in codimension one case, our results reduce to Colding-Minicozzi's results.

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Ben Andrews, Haizhong Li, Yong Wei. 2012-04-23. $\mathcal{F}$-stability for self-shrinking solutions to mean curvature flow. https://arxiv.org/abs/1204.5010

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