Embedded minimal tori in S^3 and the Lawson conjecture

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.

Final version, to appear in Acta Mathematica

References in corpus (1)

• Non-collapsing in mean-convex mean curvature flow

Cited by in corpus (4)

• Embedded constant mean curvature tori in the three-sphere
• Delaunay-type hypersurfaces in cohomogeneity one manifolds
• Alexandrov immersions, holonomy and minimal surfaces in $S^3$
• A new characterization of the Clifford torus via scalar curvature pinching