Classification and rigidity of self-shrinkers in the Mean curvature flow
Differential Geometry
2012-10-01 v2
Abstract
In this paper, we first use the method of Colding and Minicozzi [5] to show that K. Smoczyk's classification theorem [16] for complete self-shrinkers in higher codimension also holds under a weaker condition. Then as an application, we give some rigidity results for self-shrinkers in arbitrary codimension.
Keywords
Cite
@article{arxiv.1201.4623,
title = {Classification and rigidity of self-shrinkers in the Mean curvature flow},
author = {Haizhong Li and Yong Wei},
journal= {arXiv preprint arXiv:1201.4623},
year = {2012}
}
Comments
26 pages, to appear in Journal of the Mathematical Society of Japan