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Minimal lightlike hypersurfaces in \(\mathbb{R}^4_2\) with integrable screen distribution. (English) Zbl 1183.53017

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
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