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

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arxiv 2502.20303 v1 pith:HE43F7A2 submitted 2025-02-27 math.DG

Alberto Cerezo This is my paper · ORCID
classification math.DG
keywords boundaryfreeannuliballsgeodesichyperbolicminimalappear
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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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  1. A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere

    math.DG 2026-07 accept novelty 7.0 of 10

    The radius map of de Oliveira's free-boundary minimal annuli in S³ folds above the hemisphere, forcing non-uniqueness and isolated spectral degenerations detected by a general Robin defect identity.

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