Alberto Cerezo

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20222026

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math.DG2024

Free boundary CMC annuli in spherical and hyperbolic balls

Alberto Cerezo, Isabel Fernandez, Pablo Mira

We construct, for any $H \in R$ , infinitely many free boundary annuli in geodesic balls of $S^{3}$ with constant mean curvature $H$ and a discrete, non-rotational, s…

math.DG2022

Annular solutions to the partitioning problem in a ball

Alberto Cerezo, Isabel Fernandez, Pablo Mira

For any $n \in N$ , $n \geq 2$ , we construct a real analytic, one-parameter family of compact embedded CMC annuli with free boundary in the unit ball $B^{3}$ of $\math…