The Lawson surfaces are determined by their symmetries and topology

Abstract

We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmetries of a Lawson surface and has the same genus is congruent to the Lawson surface.

15 pages, no figures, with minor improvements

References in corpus (2)

• The index and nullity of the Lawson surfaces ${\xi }_{g,1}$
• New minimal surfaces in S^3 desingularizing the Clifford tori

Cited by in corpus (2)

• Index of minimal hypersurfaces in real projective spaces
• On the Willmore problem for surfaces with symmetry