Geodesic
Remarks on screen integrable null hypersurfaces in Lorentzian manifolds
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 16 (2020), pp. 460-472

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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. 
@article{JMAG_2020_16_a4,
     author = {Samuel Ssekajja},
     title = {Remarks on screen integrable null hypersurfaces in {Lorentzian} manifolds},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {460--472},
     publisher = {mathdoc},
     volume = {16},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2020_16_a4/}
}
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Samuel Ssekajja. Remarks on screen integrable null hypersurfaces in Lorentzian manifolds. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 16 (2020), pp. 460-472. http://geodesic.mathdoc.fr/item/JMAG_2020_16_a4/