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http://dx.doi.org/10.5666/KMJ.2019.59.4.783

Some Results on Null Hypersurfaces in (LCS)-manifolds  

Ssekajja, Samuel (School of Mathematics, University of Witwatersrand)
Publication Information
Kyungpook Mathematical Journal / v.59, no.4, 2019 , pp. 783-795 More about this Journal
Abstract
We prove that a Lorentzian concircular structure (LCS)-manifold does not admit any null hypersurface which is tangential or transversal to its characteristic vector field. Due to the above, we focus on its ascreen null hypersurfaces and show that such hypersurfaces admit a symmetric Ricci tensor. Furthermore, we prove that there are no totally geodesic ascreen null hypersurfaces of a conformally flat (LCS)-manifold.
Keywords
null hypersurfaces; Ascreen null hypersurfaces; Lorentzian concircular structure manifolds;
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Times Cited By KSCI : 2  (Citation Analysis)
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