Embedded minimal tori in S3 and the Lawson conjecture

2013/01/01 by Simon Brendle · 150 citations
Mathematics · #Combinatorics #Conjecture #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Mathematics #Pure mathematics #Torus

paper · pdf · doi:10.1007/s11511-013-0101-2

published in Acta Mathematica 211(2), 177-190 (Mittag-Leffler Institute)

openalex publication_date 2013/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15

Abstract

We show that any embedded minimal torus in S<sup>3</sup> is congruent to the Clifford torus. This answers a question posed by H. B. Lawson, Jr., in 1970.

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