Remarks on screen integrable null hypersurfaces in Lorentzian manifolds
Differential Geometry
2019-06-14 v1
Abstract
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, examples have been given to illustrate the main ideas.
Keywords
Cite
@article{arxiv.1906.05281,
title = {Remarks on screen integrable null hypersurfaces in Lorentzian manifolds},
author = {Samuel Ssekajja},
journal= {arXiv preprint arXiv:1906.05281},
year = {2019}
}
Comments
13 pages