Publication: Foliations of hyperbolic space by constant mean curvature hypersurfaces
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Publication Date
2009
Language
English
Type
Journal Article
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Abstract
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 with ∂∞ H = for any H ∈ (−1, 1), then the constant mean curvature hypersurfaces { H} foliate Hn+1.
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Source:
International Mathematics Research Notices
Publisher:
Oxford University Press (OUP)
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Subject
Mathematics