paper

New minimal surfaces in S^3 desingularizing the Clifford tori

arXiv:1304.3184

Abstract

For each integer m>1 and l>0 we construct a pair of compact embedded minimal surfaces of genus 1+4m(m-1)l. These surfaces desingularize the m Clifford tori meeting each other along a great circle at the angle of π/m. They are invariant under a finite group of screw motions and have no reflection symmetry across a great sphere.

14 pages, 6 figures

New minimal surfaces in S^3 desingularizing the Clifford tori · wovepaper