Abstract
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 construction tripling the equatorial disc. Aside from the equatorial disc itself, these are the first examples in the three-ball of compact free boundary minimal surfaces with connected boundary.
Citation
Nikolaos Kapouleas. David Wiygul. "Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc." J. Differential Geom. 123 (2) 311 - 362, February 2023. https://doi.org/10.4310/jdg/1680883579
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