Communications of the Korean Mathematical Society (대한수학회논문집)

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SCREEN CONFORMAL EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM

  • Jin, Dae-Ho (DEPARTMENT OF MATHEMATICS DONGGUK UNIVERSITY)
  • Published : 2010.04.30
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Abstract

In this paper, we study the geometry of lightlike hypersurfaces of a semi-Riemannian manifold. We prove a classification theorem for Einstein lightlike hypersurfaces M of a Lorentzian space form subject such that the second fundamental forms of M and its screen distribution S(TM) are conformally related by some non-vanishing smooth function.

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References

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