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Discrete Constant Mean Curvature Cylinders and Isothermic Tori
journal contribution
posted on 2024-11-29, 09:11 authored by Joseph Cho, Katrin LeschkeKatrin Leschke, Yuta OgataWe 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.
Funding
The second author gratefully acknowledges the partial support of this work provided by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located at Kyoto University. The third author gratefully acknowledges the support from JSPS Grants-in-Aids (21K13799, 24K06722).
History
Author affiliation
College of Science & Engineering Comp' & Math' SciencesVersion
- AM (Accepted Manuscript)
