Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

  • Jin, Dae-Ho (DEPARTMENT OF MATHEMATICS DONGGUK UNIVERSITY)
  • Received : 2009.06.18
  • Published : 2010.07.31
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Abstract

In this paper, we study the geometry of lightlike real hyper-surfaces of an indefinite Kaehler manifold. The main result is a characterization theorem for lightlike real hypersurfaces M of an indefinite complex space form $\bar{M}(c)$ such that the screen distribution is totally umbilic.

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References

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  4. NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS vol.28, pp.2, 2013, https://doi.org/10.4134/CKMS.2013.28.2.353
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