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arXiv · 0907.2594

Smooth compactness of self-shrinkers

Tobias H. Colding·William P. Minicozzi II
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Abstract

We prove a smooth compactness theorem for the space of embedded self-shrinkers in $\RR^3$. 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.

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Tobias H. Colding, William P. Minicozzi II. 2009-07-15. Smooth compactness of self-shrinkers. https://arxiv.org/abs/0907.2594

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