Totally umbilical lightlike hypersurfaces in Robertson-Walker spacetimes
Summary: We study the problem of light-like hypersurfaces immersed into Robertson-Walker (RW) space-times, where the screen bundle of the hypersurface has constant higher-order mean curvature. We consider the following question: Under what conditions is the compact light-like hypersurface totally umbilical? Our approach is based on the relationship between the light-like hypersurface with its screen bundle and the Minkowski formulae for the screen bundle.
scientific article; zbMATH DE number 6304710