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Smooth compactness of self-shrinkers

Author(s)
Colding, Tobias; Minicozzi, William
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Abstract
We prove a smooth compactness theorem for the space of embedded self-shrinkers in R[superscript 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.
Description
Original manuscript July 15, 2009
Date issued
2012
URI
http://hdl.handle.net/1721.1/79917
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Commentarii Mathematici Helvetici
Publisher
European Mathematical Society Publishing House
Citation
Colding, Tobias, and William Minicozzi II. “Smooth compactness of self-shrinkers.” Commentarii Mathematici Helvetici (2012): 463-475.
Version: Original manuscript
ISSN
0010-2571
1420-8946

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