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The rigidity theorems of self shrinkers

Qi Ding Fudan University Yuanlong Xin Fudan University

Differential Geometry mathscidoc:1901.10001

Trans. A.M.S., 366, 5067-5085, 2014
By using certain idea developed in minimal submanifold theory we study 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 point-wise conditions or under integral conditions.
self shrinkers， the second fundamental form
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@inproceedings{qi2014the,
  title={The rigidity theorems of self shrinkers},
  author={Qi Ding, and Yuanlong Xin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190119000201022060189},
  booktitle={Trans. A.M.S.},
  volume={366},
  pages={5067-5085},
  year={2014},
}
Qi Ding, and Yuanlong Xin. The rigidity theorems of self shrinkers. 2014. Vol. 366. In Trans. A.M.S.. pp.5067-5085. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190119000201022060189.
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