Singly periodic minimal Wente torus with ends

Carlos Andrés Toro Cardona

Singly periodic minimal Wente torus with ends

Differential Geometry 2026-07-19 v1

Authors: Carlos Andrés Toro Cardona

Abstract

We construct singly periodic minimal surfaces in $\mathbb{R}^3$ parametrized by rhombic lattices and foliated by spherical curvature lines. As an application we find new examples of free boundary and capillary minimal annuli into two spheres of different center and same radius, some of them embedded.

Cite

@article{arxiv.2607.17379,
  title  = {Singly periodic minimal Wente torus with ends},
  author = {Carlos Andrés Toro Cardona},
  journal= {arXiv preprint arXiv:2607.17379},
  year   = {2026}
}