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Embedded minimal tori in$S$^{3}and the Lawson conjecture

Simon Brendle Department of Mathematics, Stanford University

Analysis of PDEs Differential Geometry mathscidoc:1701.03010

Acta Mathematica, 211, (2), 177-190, 2012.4

We show that any embedded minimal torus in$S$^{3}is congruent to the Clifford torus. This answers a question posed by H. B. Lawson, Jr., in 1970.

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BibTex
Ref

@inproceedings{simon2012embedded,
  title={Embedded minimal tori in$S$^{3}and the Lawson conjecture},
  author={Simon Brendle},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203401515019777},
  booktitle={Acta Mathematica},
  volume={211},
  number={2},
  pages={177-190},
  year={2012},
}

Simon Brendle. Embedded minimal tori in$S$^{3}and the Lawson conjecture. 2012. Vol. 211. In Acta Mathematica. pp.177-190. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203401515019777.

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