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Classification and rigidity of self-shrinkers in the mean curvature flow

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Date

2014-07-24

Authors

Li, Haizhong
Wei, Yong

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematical Society of Japan

Abstract

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.

Description

Keywords

self-shrinker, rigidity, mean curvature flow

Citation

LI, Haizhong; WEI, Yong. Classification and rigidity of self-shrinkers in the mean curvature flow. J. Math. Soc. Japan 66 (2014), no. 3, 709--734. doi:10.2969/jmsj/06630709. https://projecteuclid.org/euclid.jmsj/1406206969

URI

http://hdl.handle.net/1885/186630

Collections

ANU Research Publications

Source

Journal of the Mathematical Society of Japan

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.2969/jmsj/06630709

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