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

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

2007-02-19

arxiv.org/abs/math/0702565v1

Mathematics

Differential Geometry

Scientific paper

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.

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