On the Gauss map of complete spacelike hypersurfaces with bounded mean curvature in the Minkowski space
The paper deals with a complete space-like hypersurface \(\Sigma^{n}\subset \mathbb{L}^{n+1}\) bounded away from the past infinite of the Minkowski space \(\mathbb{L}^{n+1}\) with bounded mean curvature \(H>0\). The author shows that if the hyperbolic image of the \(n\)-dimensional connected manifold \(\Sigma^{n}\) is contained in the closure of a geodesic ball of centre \(e_{n+1}\in\mathbb{H}^{n}\), where \(\mathbb{H}^{n}\) is the \(n\)-dimensional hyperbolic space the radius \(\rho\) of which satisfies \[ \cosh \rho\leq 1 + \inf_{\Sigma}H, \] then \(\Sigma^{n}\) is a space-like hyperplane.
scientific article; zbMATH DE number 5964516