Free boundary CMC annuli in spherical and hyperbolic balls
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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