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LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE

Jin, Dae-Ho

  • Received : 2011.07.05
  • Published : 2012.10.31

Abstract

In this paper, we study the geometry lightlike hypersurfaces (M, $g$, S(TM)) of a semi-Riemannian manifold ($\tilde{M}$, $\tilde{g}$) of quasi-constant curvature subject to the conditions: (1) The curvature vector field of $\tilde{M}$ is tangent to M, and (2) the screen distribution S(TM) is either totally geodesic in M or totally umbilical in $\tilde{M}$.

Keywords

totally geodesic;totally umbilical;lightlike hypersurface;semi-Riemannian manifold of quasi-constant curvature

References

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Cited by

  1. A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE ADMITS SOME HALF LIGHTLIKE SUBMANIFOLDS vol.50, pp.3, 2013, https://doi.org/10.4134/BKMS.2013.50.3.1041
  2. LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES vol.30, pp.5, 2014, https://doi.org/10.7858/eamj.2014.039