The rigidity theorems of self-shrinkers
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- by Qi Ding and Y. L. Xin PDF
- Trans. Amer. Math. Soc. 366 (2014), 5067-5085 Request permission
Abstract:
By using certain techniques developed in minimal submanifold theory, we study the rigidity problem for self-shrinkers in the present paper. We prove rigidity results for the squared norm of the second fundamental form of self-shrinkers, either under pointwise conditions or under integral conditions.References
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Additional Information
- Qi Ding
- Affiliation: Institute of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- MR Author ID: 926792
- Email: 09110180013@fudan.edu.cn
- Y. L. Xin
- Affiliation: Institute of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- Email: ylxin@fudan.edu.cn
- Received by editor(s): September 19, 2011
- Published electronically: July 1, 2014
- Additional Notes: This research was partially supported by NSFC
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 366 (2014), 5067-5085
- MSC (2010): Primary 53C44
- DOI: https://doi.org/10.1090/S0002-9947-2014-05901-1
- MathSciNet review: 3240917