49 citations · 161 across the 19 of their papers we have counts for
4 papers · 1 filter
Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk
Nikolaos Kapouleas, Martin Man-chun Li
We construct a new family of high genus examples of free boundary minimal surfaces in the Euclidean unit 3-ball by desingularizing the intersection of a coaxial pair of a critical…
Minimal Surfaces in the Round Three-Sphere by Doubling the Equatorial Two-Sphere, II
Nikolaos Kapouleas, Peter McGrath
In earlier work of NK new closed embedded smooth minimal surfaces in the round three-sphere were constructed, each resembling two parallel copies of the equatoria…
Complete Constant Mean Curvature Hypersurfaces in Euclidean space of dimension four or higher
Christine Breiner, Nikolaos Kapouleas
In this article we provide a general construction when for immersed in Euclidean -space, complete, smooth, constant mean curvature hypersurfaces of finite topologica…
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…