Аннотация:
In the present paper, we show that the geometry of a screen integrable null hypersurface can be generated from an isometric immersion of a leaf of its screen distribution into the ambient space. We prove, under certain geometric conditions, that such immersions are contained in semi-Euclidean spheres or hyperbolic spaces, and the underlying null hypersurfaces are necessarily umbilic and screen totally umbilic. Where necessary, the examples are given to illustrate the main ideas.
Ключевые слова и фразы:screen integrable null hypersurfaces, normal curvature tensor of a leaf.