Classification and rigidity of self-shrinkers in the mean curvature flow
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Description
In this paper, we first use the method of Colding and Minicozzi II [7] to show that K. Smoczyk's classification theorem [25] 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.
| Collections | ANU Research Publications |
|---|---|
| Date published: | 2014-07-24 |
| Type: | Journal article |
| URI: | http://hdl.handle.net/1885/186630 |
| Source: | Journal of the Mathematical Society of Japan |
| DOI: | 10.2969/jmsj/06630709 |
| Access Rights: | Open Access |
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| File | Description | Size | Format | Image |
|---|---|---|---|---|
| 01_Li_Classification_and_rigidity_of_2014.pdf | 243.97 kB | Adobe PDF |  |
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