Free boundary CMC annuli in spherical and hyperbolic balls

Cerezo Cid, Alberto; Fernández Delgado, Isabel; Mira, Pablo

doi:10.1007/s00526-024-02883-6

s00526-024-02883-6.pdf (1.014Mb)

Identificadores

URI: https://hdl.handle.net/10481/102840

DOI: 10.1007/s00526-024-02883-6

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Editorial

Springer Nature

Date

2025-01-06

Referencia bibliográfica

Cerezo, A., Fernández, I. & Mira, P. Free boundary CMC annuli in spherical and hyperbolic balls. Calc. Var. 64, 37 (2025). https://doi.org/10.1007/s00526-024-02883-6

Sponsorship

MICIU/AEI/10.13039/501100011033 PID2020-118137GB-I00; ESF+; Región de Murcia 21937/PI/22

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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