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On the Geometry of Lightlike Submanifolds

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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.

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.

참고문헌 (3)

  1. C. Atindogbe, "Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature", Kodai Math. J, 29, pp.58~71 (2006)
  2. K. L. Duggal, "Lightlike submanifolds of semi-Riemannian manifolds and applications" (1996), Kluwer Academic, Publishers
  3. K. L. Duggal, "Totally umbilical lightlike submanifolds", Kodai Math. J, 26, pp.49~68 (2003)

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