Embedded minimal tori in S^3 and the Lawson conjecture
Differential Geometry
2012-09-19 v3
Abstract
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.
Cite
@article{arxiv.1203.6597,
title = {Embedded minimal tori in S^3 and the Lawson conjecture},
author = {S. Brendle},
journal= {arXiv preprint arXiv:1203.6597},
year = {2012}
}
Comments
Final version, to appear in Acta Mathematica