On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space
The authors prove that spacelike hyperplanes in a Lorentz-Minkowski space \(L\) are the only complete spacelike hypersurfaces with constant mean curvature which are between two parallel spacelike hyperplanes. Similarly, they show that the only complete spacelike hypersurfaces with constant mean curvature in \(L\) which are between two concentric hyperbolic spaces are the hyperbolic spaces. Finally, there are given some a priori estimates for the higher order mean curvatures, the scalar curvature and the Ricci curvature of a complete spacelike hypersurface in \(L\) which is bounded by a hyperbolic space.
scientific article; zbMATH DE number 1441733