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math.DG2020★ 7 cited
The Lawson surfaces are determined by their symmetries and topology
Nikolaos Kapouleas, David Wiygul
We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmetries of a Lawson surface and has the same genus is congruent to the Lawson surfa…
math.DG2020
Generalizing the Linearized Doubling approach, I: General theory and new minimal surfaces and self-shrinkers
Nikolaos Kapouleas, Peter McGrath
In Part I of this article we generalize the Linearized Doubling (LD) approach, introduced in earlier work by NK, by proving a general theorem stating that if is a closed minima…