Minimal surfaces in the three-Sphere by doubling the Clifford Torus

Abstract

We construct embedded closed minimal surfaces in the round three-sphere, resembling two parallel copies of the Clifford torus, joined by m^2 small catenoidal bridges symmetrically arranged along a square lattice of points on the torus.

Cited by in corpus (1)

• On the moduli of constant mean curvature cylinders of finite type in the 3-sphere