Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Some Results on Null Hypersurfaces in (LCS)-manifolds

  • Received : 2019.01.07
  • Accepted : 2019.10.21
  • Published : 2019.12.23
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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.

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Acknowledgement

The author is very grateful to the reviewer and editor for providing valuable suggestions to improve the quality of this paper. Part of this work was done while the author was still at the University of KwaZulu-Natal.

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