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arXiv · 2403.04595

Free boundary CMC annuli in spherical and hyperbolic balls

Alberto Cerezo·Isabel Fernandez·Pablo Mira
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Abstract

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 $H$.

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Alberto Cerezo, Isabel Fernandez, Pablo Mira. 2024-03-07. Free boundary CMC annuli in spherical and hyperbolic balls. https://arxiv.org/abs/2403.04595

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