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math.DG2017★ 3 cited
Free-boundary minimal surfaces with connected boundary in the -ball by tripling the equatorial disc
Nicolaos Kapouleas, David Wiygul
In the Euclidean unit three-ball, we construct compact, embedded, two-sided free boundary minimal surfaces with connected boundary and prescribed high genus, by a gluing constructi…
math.DG2017★ 9 cited
Minimal surfaces in the 3-sphere by desingularizing intersecting Clifford tori
Nikolaos Kapouleas, David Wiygul
For each integer , we apply gluing methods to construct sequences of minimal surfaces embedded in the round -sphere. We produce two types of sequences, all desingulari…