Genus three embedded doubly periodic minimal surfaces with parallel ends
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915939601088512 |
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| author | Connor, Peter Fujimori, Shoichi Marmorino, Phillip Shoda, Toshihiro |
| author_facet | Connor, Peter Fujimori, Shoichi Marmorino, Phillip Shoda, Toshihiro |
| contents | We construct a one-parameter family of embedded doubly periodic minimal surfaces of genus three with four parallel ends. The Weierstrass data for each surface of the family are given and the two dimensional period problem is solved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_10711 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Genus three embedded doubly periodic minimal surfaces with parallel ends Connor, Peter Fujimori, Shoichi Marmorino, Phillip Shoda, Toshihiro Differential Geometry Primary 53A10, Secondary 53C42, 49Q05 We construct a one-parameter family of embedded doubly periodic minimal surfaces of genus three with four parallel ends. The Weierstrass data for each surface of the family are given and the two dimensional period problem is solved. |
| title | Genus three embedded doubly periodic minimal surfaces with parallel ends |
| topic | Differential Geometry Primary 53A10, Secondary 53C42, 49Q05 |
| url | https://arxiv.org/abs/2105.10711 |