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

Nicolaos Kapouleas·Seong-Deog Yang
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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.

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Nicolaos Kapouleas, Seong-Deog Yang. 2007-02-19. Minimal surfaces in the three-Sphere by doubling the Clifford Torus. https://arxiv.org/abs/math/0702565

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