Free-boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc
Differential Geometry
2017-12-29 v2
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.
Keywords
Cite
@article{arxiv.1711.00818,
title = {Free-boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc},
author = {Nicolaos Kapouleas and David Wiygul},
journal= {arXiv preprint arXiv:1711.00818},
year = {2017}
}
Comments
33 pages, 1 figure, with minor improvements over first version