Free boundary CMC annuli in spherical and hyperbolic balls
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929267747586048 |
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| author | Cerezo, Alberto Fernandez, Isabel Mira, Pablo |
| author_facet | Cerezo, Alberto Fernandez, Isabel Mira, Pablo |
| contents | We construct, for any $H\in \mathbb{R}$, infinitely many free boundary annuli in geodesic balls of $\mathbb{S}^3$ with constant mean curvature $H$ and a discrete, non-rotational, symmetry group. Some of these free boundary CMC annuli are actually embedded if $H\geq 1/\sqrt{3}$. We also construct embedded, non-rotational, free boundary CMC annuli in geodesic balls of $\mathbb{H}^3$, for all values $H>1$ of the mean curvature $H$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04595 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free boundary CMC annuli in spherical and hyperbolic balls Cerezo, Alberto Fernandez, Isabel Mira, Pablo Differential Geometry 53A10, 53C42 We construct, for any $H\in \mathbb{R}$, infinitely many free boundary annuli in geodesic balls of $\mathbb{S}^3$ with constant mean curvature $H$ and a discrete, non-rotational, symmetry group. Some of these free boundary CMC annuli are actually embedded if $H\geq 1/\sqrt{3}$. We also construct embedded, non-rotational, free boundary CMC annuli in geodesic balls of $\mathbb{H}^3$, for all values $H>1$ of the mean curvature $H$. |
| title | Free boundary CMC annuli in spherical and hyperbolic balls |
| topic | Differential Geometry 53A10, 53C42 |
| url | https://arxiv.org/abs/2403.04595 |