Sakaki, Makoto Minimal lightlike hypersurfaces in \(\mathbb{R}^4_2\) with integrable screen distribution. (English) Zbl 1183.53017 Balkan J. Geom. Appl. 14, No. 1, 84-90 (2009). Summary: We give the necessary and sufficient condition for a light-like hypersurface in \(\mathbb R_2^4\) with integrable screen distribution to be minimal. Using the condition we can get many minimal light-like hypersurfaces in \(\mathbb R_2^4\) which are not totally geodesic. MSC: 53B25 Local submanifolds 53B30 Local differential geometry of Lorentz metrics, indefinite metrics Keywords:light-like hypersurface; minimal; screen distribution; semi-Euclidean space PDFBibTeX XMLCite \textit{M. Sakaki}, Balkan J. Geom. Appl. 14, No. 1, 84--90 (2009; Zbl 1183.53017) Full Text: EuDML