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Mathematics > Differential Geometry

arXiv:math/0702565 (math)
[Submitted on 19 Feb 2007]

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

Authors: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.
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
Cite as: arXiv:math/0702565 [math.DG]
  (or arXiv:math/0702565v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.math/0702565

Submission history

From: Nicolaos Kapouleas [view email]
[v1] Mon, 19 Feb 2007 21:40:53 UTC (27 KB)
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