Discrete constant mean curvature cylinders and isothermic tori
Differential Geometry
2024-01-15 v1
Abstract
We consider the monodromy problem of Darboux transforms of discrete isothermic surfaces using the integrable theory of discrete polarised curves. Then we provide, for the first time, closed-form discrete parametrisations of discrete isothermic cylinders, discrete constant mean curvature cylinders, and discrete isothermic tori.
Keywords
Cite
@article{arxiv.2401.06570,
title = {Discrete constant mean curvature cylinders and isothermic tori},
author = {Joseph Cho and Katrin Leschke and Yuta Ogata},
journal= {arXiv preprint arXiv:2401.06570},
year = {2024}
}
Comments
27 pages, 9 figures