Ruled zero mean curvature surfaces in the three-dimensional light cone
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866909582220066816 |
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| author | Cho, Joseph Lee, Dami Lee, Wonjoo Yang, Seong-Deog |
| author_facet | Cho, Joseph Lee, Dami Lee, Wonjoo Yang, Seong-Deog |
| contents | We obtain a complete classification of ruled zero mean curvature surfaces in the three-dimensional light cone. En route, we examine geodesics and screw motions in the space form, allowing us to discover helicoids. We also consider their relationship to catenoids using Weierstrass representations of zero mean curvature surfaces in the three-dimensional light cone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12543 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ruled zero mean curvature surfaces in the three-dimensional light cone Cho, Joseph Lee, Dami Lee, Wonjoo Yang, Seong-Deog Differential Geometry (2020): 53A10 (Primary) 53B30 (Secondary) We obtain a complete classification of ruled zero mean curvature surfaces in the three-dimensional light cone. En route, we examine geodesics and screw motions in the space form, allowing us to discover helicoids. We also consider their relationship to catenoids using Weierstrass representations of zero mean curvature surfaces in the three-dimensional light cone. |
| title | Ruled zero mean curvature surfaces in the three-dimensional light cone |
| topic | Differential Geometry (2020): 53A10 (Primary) 53B30 (Secondary) |
| url | https://arxiv.org/abs/2504.12543 |