Estudillo, Francisco J. M.; Romero, Alfonso On maximal surfaces in the \(n\)-dimensional Lorentz-Minkowski space. (English) Zbl 0732.53048 Geom. Dedicata 38, No. 2, 167-174 (1991). The authors prove several theorems of Bernstein type for complete space- like 2-dimensional surfaces in n-dimensional Minkowski space with zero mean curvature. For example they show that if all timelike normals to such a surface in \({\mathbb{E}}^ n_ 1\), \(n\geq 4\), omit a neighborhood of a fixed timelike direction, then the surface is a plane. The authors erroneously refer to space-like zero mean curvature surfaces in \({\mathbb{E}}^ n_ 1\) as being maximal. This is only the case for \(n=3\). Reviewer: B.Palmer (Berlin) Cited in 2 ReviewsCited in 10 Documents MSC: 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics Keywords:space-like surfaces; theorems of Bernstein type; Minkowski space; zero mean curvature PDFBibTeX XMLCite \textit{F. J. M. Estudillo} and \textit{A. Romero}, Geom. Dedicata 38, No. 2, 167--174 (1991; Zbl 0732.53048) Full Text: DOI