March 7, 2024Open Access

Free boundary CMC annuli in spherical and hyperbolic balls

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Abstract

We construct, for any H R, infinitely many free boundary annuli in geodesic balls of S³ with constant mean curvature H and a discrete, non-rotational, symmetry group. Some of these free boundary CMC annuli are actually embedded if H 1/3. We also construct embedded, non-rotational, free boundary CMC annuli in geodesic balls of H³, for all values H>1 of the mean curvature H.

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Cerezo et al. (Thu,) studied this question.

synapsesocial.com/papers/68e7567db6db6435876cddf8 https://doi.org/https://doi.org/10.48550/arxiv.2403.04595

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Free boundary CMC annuli in spherical and hyperbolic balls

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