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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2002.07276 |
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| _version_ | 1866916101860884480 |
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| author | Ros, Antonio |
| author_facet | Ros, Antonio |
| contents | We construct a Riemannian metric of positive sectional curvature on the $3$-dimensional projective space with a two-sided closed embedded minimal surface of genus $3$, index $1$ and nullity $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_07276 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Index one minimal surfaces in positively curved $3$-manifolds Ros, Antonio Differential Geometry 53A10, 58E12, 57M50 We construct a Riemannian metric of positive sectional curvature on the $3$-dimensional projective space with a two-sided closed embedded minimal surface of genus $3$, index $1$ and nullity $0$. |
| title | Index one minimal surfaces in positively curved $3$-manifolds |
| topic | Differential Geometry 53A10, 58E12, 57M50 |
| url | https://arxiv.org/abs/2002.07276 |