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

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We 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.
22 pages, in LaTex

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Differential Geometry, 53C21,53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/152289

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9709011
 http://arxiv.org/abs/dg-ga/9709011

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arXiv