Genus three embedded doubly periodic minimal surfaces with parallel ends
Differential Geometry
2026-04-17 v3
Abstract
We construct a one-parameter family of embedded doubly periodic minimal surfaces of genus three with four parallel ends. The Weierstrass data for each surface of the family are given and the two dimensional period problem is solved.
Cite
@article{arxiv.2105.10711,
title = {Genus three embedded doubly periodic minimal surfaces with parallel ends},
author = {Peter Connor and Shoichi Fujimori and Phillip Marmorino and Toshihiro Shoda},
journal= {arXiv preprint arXiv:2105.10711},
year = {2026}
}
Comments
19 pages, 13 figures