A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space

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dc.creatorCao, Huai-Dong
dc.creatorShen, Ying
dc.creatorZhu, Shunhui
dc.date1997-09-07
dc.date.accessioned2026-07-07T09:13:20Z
dc.date.available2026-07-07T09:13:20Z
dc.descriptionWe obtain a gradient estimate for the Gauss maps from complete spacelike constant mean curvature hypersurfaces in Minkowski space into the hyperbolic space. As applications, we prove a Bernstein theorem which says that if the image of the Gauss map is bounded from one side, then the spacelike constant mean curvature hypersurface must be linear. This result extends the previous theorems obtained by B. Palmer and Y.L. Xin where they assume that the image of the Gauss map is bounded. We also proved a Bernstein theorem for spacelike complete surfaces with parallel mean curvature vector in four-dimensional spaces.
dc.description22 pages, in LaTex
dc.identifierhttps://arxiv.org/abs/dg-ga/9709011
dc.identifierhttp://arxiv.org/abs/dg-ga/9709011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152289
dc.subjectDifferential Geometry
dc.subject53C21,53C42
dc.titleA Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space
dc.typetext

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