Singular minimal surfaces with constant curvature
Differential Geometry
2025-07-21 v1
Abstract
We prove that singular minimal surfaces with constant Gauss curvature are planes, spheres and cylindrical surfaces. We also classify all singular minimal surfaces with a constant principal curvature and singular minimal surfaces with constant mean curvature.
Cite
@article{arxiv.2507.13668,
title = {Singular minimal surfaces with constant curvature},
author = {Rafael López},
journal= {arXiv preprint arXiv:2507.13668},
year = {2025}
}