Minimal null scrolls in the three-dimensional Heisenberg group
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916139046535168 |
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| author | Kiyohara, Hirotaka |
| author_facet | Kiyohara, Hirotaka |
| contents | In the three-dimensional Heisenberg group equipped with a certain left invariant Lorentzian metric, timelike minimal surfaces which have the Abresch-Rosenberg differentials with vanishing multiplication of the coefficient function and its para-complex conjugate are characterized as the surfaces defined by the multiplication of null curves and affine null lines. Moreover, the constructions of these surfaces with prescribed curvatures of null curves or prescribed null lines are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08178 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Minimal null scrolls in the three-dimensional Heisenberg group Kiyohara, Hirotaka Differential Geometry 53A10 (Primary) 53A35, 53C42 (Secondary) In the three-dimensional Heisenberg group equipped with a certain left invariant Lorentzian metric, timelike minimal surfaces which have the Abresch-Rosenberg differentials with vanishing multiplication of the coefficient function and its para-complex conjugate are characterized as the surfaces defined by the multiplication of null curves and affine null lines. Moreover, the constructions of these surfaces with prescribed curvatures of null curves or prescribed null lines are given. |
| title | Minimal null scrolls in the three-dimensional Heisenberg group |
| topic | Differential Geometry 53A10 (Primary) 53A35, 53C42 (Secondary) |
| url | https://arxiv.org/abs/2308.08178 |