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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  title={Embedded minimal tori in$S$^{3}and the Lawson conjecture},
  author={Simon Brendle},
  booktitle={Acta Mathematica},
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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