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Foliations of hyperbolic space by constant mean curvature hypersurfaces
We show that the constant mean curvature hypersurfaces in Hn+1 spanning the boundary of a star-shaped C1,1 domain in Sn∞ (Hn+1) give a foliation of Hn+1. We also show that if is a closed codimension-1 C2,α submanifold in Sn∞ (Hn+1) bounding a unique constant mean curvature hypersurface H in Hn+1
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