Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Geometry of Lightlike Submanifolds

  • Received : 2011.03.21
  • Accepted : 2011.03.25
  • Published : 2011.06.30
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Abstract

We give some characterizations of non-existence of lightlike hypersurfaces of an indefinite space form. Some geometric objects for the induced Ricci tensor to be symmetric are studied.

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References

  1. C. Atindogbe, J.-P. Ezin and J. Tossa, Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature, Kodai Math. J., 29(2006), 58-71. https://doi.org/10.2996/kmj/1143122387
  2. K. L. Duggal and A. Bejancu, Lightlike submanifolds of semi-Riemannian manifolds and applications, Kluwer Academic, Publishers, Dordrecht, 1996.
  3. K. L. Duggal and D. H. Jin, Totally umbilical lightlike submanifolds, Kodai Math. J., 26(2003), 49-68. https://doi.org/10.2996/kmj/1050496648

Cited by

  1. ON LIGHTLIKE SUBMANIFOLDS OF A GRW SPACE-TIME vol.29, pp.2, 2014, https://doi.org/10.4134/CKMS.2014.29.2.295
  2. ON LIGHTLIKE HYPERSURFACES OF A GRW SPACE-TIME vol.49, pp.4, 2012, https://doi.org/10.4134/BKMS.2012.49.4.863