Minimal surfaces in the three-sphere by doubling the Clifford torus

Nikolaos Kapouleas; Seong Deog Yang

doi:10.1353/ajm.0.0104

Minimal surfaces in the three-sphere by doubling the Clifford torus

Nikolaos Kapouleas, Seong Deog Yang

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

We construct embedded closed minimal surfaces in the round three-sphere S³(1), resembling two parallel copies of the Clifford torus, joined by m² small catenoidal bridges symmetrically arranged along a square lattice of points on the torus.

Original language	English
Pages (from-to)	257-295
Number of pages	39
Journal	American Journal of Mathematics
Volume	132
Issue number	2
DOIs	https://doi.org/10.1353/ajm.0.0104
Publication status	Published - 2010 Apr

ASJC Scopus subject areas

General Mathematics

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title = "Minimal surfaces in the three-sphere by doubling the Clifford torus",

abstract = "We construct embedded closed minimal surfaces in the round three-sphere S3(1), resembling two parallel copies of the Clifford torus, joined by m2 small catenoidal bridges symmetrically arranged along a square lattice of points on the torus.",

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Minimal surfaces in the three-sphere by doubling the Clifford torus

Abstract

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