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arXiv · 2502.20303

Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$

Alberto Cerezo
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Abstract

We construct a countable collection of one-parameter families of non-rotational minimal annuli with free boundary in geodesic balls of hyperbolic 3-space. Every surface within a given family shares a common prismatic symmetry group, and they appear as bifurcations from certain free boundary hyperbolic catenoids.

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Alberto Cerezo. 2025-02-27. Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$. https://arxiv.org/abs/2502.20303

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