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

Nikolaos Kapouleas, Seong Deog Yang

Research output: Contribution to journalArticlepeer-review

23 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 languageEnglish
Pages (from-to)257-295
Number of pages39
JournalAmerican Journal of Mathematics
Volume132
Issue number2
DOIs
Publication statusPublished - 2010 Apr

ASJC Scopus subject areas

  • Mathematics(all)

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