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.
FREE BOUNDARY MINIMAL SURFACES WITH CONNECTED BOUNDARY IN THE 3-BALL BY TRIPLING THE EQUATORIAL DISC / Kapouleas, Nikolaos; Wiygul, David. - In: JOURNAL OF DIFFERENTIAL GEOMETRY. - ISSN 0022-040X. - 123:2(2023), pp. 311-362. [10.4310/jdg/1680883579]
FREE BOUNDARY MINIMAL SURFACES WITH CONNECTED BOUNDARY IN THE 3-BALL BY TRIPLING THE EQUATORIAL DISC
Wiygul, David
2023-01-01
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.| File | Dimensione | Formato | |
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