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arXiv · 2401.06570

Discrete constant mean curvature cylinders and isothermic tori

Joseph Cho·Katrin Leschke·Yuta Ogata
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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.

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Joseph Cho, Katrin Leschke, Yuta Ogata. 2024-01-12. Discrete constant mean curvature cylinders and isothermic tori. https://arxiv.org/abs/2401.06570

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