Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON HORIZONTAL LIGHTLIKE HYPERSURFACES OF ROBERTSON-WALKER SPACETIMES

  • Liu, Ximin (School of Mathematical Sciences Dalian University of Technology) ;
  • Pan, Quanxiang (School of Mathematical Sciences Dalian University of Technology)
  • Received : 2014.10.07
  • Published : 2015.04.30
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Abstract

In this paper, we investigate horizontal lightlike hypersurfaces of Robertson-Walker spacetimes. Some results involving the unique existence of the screen distribution and the symmetry of the induced Ricci curvature tensor of horizontal lightlike hypersurfaces are presented. We also obtain some properties concerning the symmetry and the parallelism of the second fundamental forms of such lightlike hypersurfaces.

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References

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