Minimal surfaces in the three-Sphere by doubling the Clifford Torus
Differential Geometry
2007-05-23 v1 Analysis of PDEs
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.
Cite
@article{arxiv.math/0702565,
title = {Minimal surfaces in the three-Sphere by doubling the Clifford Torus},
author = {Nicolaos Kapouleas and Seong-Deog Yang},
journal= {arXiv preprint arXiv:math/0702565},
year = {2007}
}