Discrete constant mean curvature cylinders and isothermic tori
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911756249464832 |
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| author | Cho, Joseph Leschke, Katrin Ogata, Yuta |
| author_facet | Cho, Joseph Leschke, Katrin Ogata, Yuta |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06570 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete constant mean curvature cylinders and isothermic tori Cho, Joseph Leschke, Katrin Ogata, Yuta Differential Geometry (2020): 53A70 (Primary) 53A10, 53A31 (Secondary) 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. |
| title | Discrete constant mean curvature cylinders and isothermic tori |
| topic | Differential Geometry (2020): 53A70 (Primary) 53A10, 53A31 (Secondary) |
| url | https://arxiv.org/abs/2401.06570 |