On Einstein null hypersurfaces of $(LCS)_{n+2}$-space forms

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Abstract

We show that ascreen null hypersurfaces of an $(n+2)$-dimensional Lorentzian concircular structure $(LCS)_{n+2}$-manifold admits an induced Ricci tensor. We, therefore, prove, under some geometric conditions, that an Einstein ascreen null hypersurface is locally a product of null curves and products of spheres.

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Publisher: Center for Open Science

Publication date (Electronic preprint): February 18 2019

Article

DOI: 10.31730/osf.io/w7y5c

SO-VID: 6610822a-2167-4ee0-becb-d3994ebfc7d8

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https://creativecommons.org/licenses/by/4.0/legalcode

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