Open Access
2013 Embedded minimal tori in S3 and the Lawson conjecture
Simon Brendle
Author Affiliations +
Acta Math. 211(2): 177-190 (2013). DOI: 10.1007/s11511-013-0101-2

Abstract

We show that any embedded minimal torus in S3 is congruent to the Clifford torus. This answers a question posed by H. B. Lawson, Jr., in 1970.

Funding Statement

The author was supported in part by the National Science Foundation under grants DMS-0905628 and DMS-1201924.

Citation

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Simon Brendle. "Embedded minimal tori in S3 and the Lawson conjecture." Acta Math. 211 (2) 177 - 190, 2013. https://doi.org/10.1007/s11511-013-0101-2

Information

Received: 2 April 2012; Published: 2013
First available in Project Euclid: 31 January 2017

zbMATH: 1305.53061
MathSciNet: MR3143888
Digital Object Identifier: 10.1007/s11511-013-0101-2

Rights: 2013 © Institut Mittag-Leffler

Vol.211 • No. 2 • 2013
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