A duality for minimal surfaces in the Heisenberg group
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866912908452036608 |
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| author | Kobayashi, Shimpei |
| author_facet | Kobayashi, Shimpei |
| contents | We introduce and study the notion of a transformation surface associated with a nowhere-vertical minimal surface in the three-dimensional Heisenberg group, and prove its minimality and duality. Furthermore, by using the logarithmic derivative of the moving frame with respect to the spectral parameter, we derive the Sym formula for the dual minimal surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20671 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A duality for minimal surfaces in the Heisenberg group Kobayashi, Shimpei Differential Geometry 53A10, 58D10, 53C42 We introduce and study the notion of a transformation surface associated with a nowhere-vertical minimal surface in the three-dimensional Heisenberg group, and prove its minimality and duality. Furthermore, by using the logarithmic derivative of the moving frame with respect to the spectral parameter, we derive the Sym formula for the dual minimal surface. |
| title | A duality for minimal surfaces in the Heisenberg group |
| topic | Differential Geometry 53A10, 58D10, 53C42 |
| url | https://arxiv.org/abs/2504.20671 |