Bernstein-type theorems in semi-Riemannian warped products
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（2011）
Abstract
This paper deals with complete hypersurfaces immersed in the (n + 1)-dimensional hyperbolic and steady state spaces. By applying a technique of S. T. Yau and imposing suitable conditions on both the r-th mean curvatures and on the norm of the gradient of the height function, we obtain Bernstein-type results in each of these ambient spaces.
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Key words
Semi-Riemannian manifolds,Lorentz geometry,hyperbolic space,steady state space,spacelike hypersurfaces,mean curvature,Bernstein-type theorems
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