The structure of stable constant mean curvature hypersufaces

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dc.creatorCheng, Xu
dc.creatorCheung, Leung-fu
dc.creatorZhou, Detang
dc.date2006-02-01
dc.date.accessioned2026-07-07T07:03:00Z
dc.date.available2026-07-07T07:03:00Z
dc.descriptionWe study the global behavior of (weakly) stable constant mean curvature hypersurfaces in general Riemannian manifolds. By using harmonic function theory, we prove some one-end theorems which are new even for constant mean curvature hypersurfaces in space forms. In particular, a complete oriented weakly stable minimal hypersurface in $\mathbb{R}^{n+1}, n\geq 3,$ must have only one end. Any complete noncompact weakly stable CMC $H$-hypersurface in the hyperbolic space $\mathbb{H}^{n+1}, n=3,4,$ with $H^2\geq{10/9}, {7/4},$ respectively, has only one end.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0602007
dc.identifierhttp://arxiv.org/abs/math/0602007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108808
dc.subjectDifferential Geometry
dc.subject53C42
dc.titleThe structure of stable constant mean curvature hypersufaces
dc.typetext

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