Smooth compactness of self-shrinkers
Name
Colding_Smooth compactness.pdf
Size
171.12 KB
Format
Adobe PDF
Checksum (MD5)
69ef7083c8a4a8437df1df5fc879f322
Author(s)
Colding, Tobias
Minicozzi, William
Date Issued
2012
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
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4171/cmh/260
