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

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      Center for Open Science

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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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          Author and article information

          Journal
          Center for Open Science
          February 18 2019
          Article
          10.31730/osf.io/w7y5c
          © 2019

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

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          Self URI (article page): https://osf.io/w7y5c

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