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Minimal surfaces in the three-sphere by doubling the Clifford torus
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 132, Number 2, April 2010
- pp. 257-295
- 10.1353/ajm.0.0104
- Article
- Additional Information
We construct embedded closed minimal surfaces in the round three-sphere
${\Bbb S}^3(1)$, 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.