Honam Mathematical Journal (호남수학학술지)

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TWO CHARACTERIZATION THEOREMS FOR LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM

  • Jin, Dae Ho (Department of Mathematics, Dongguk University)
  • Received : 2013.02.14
  • Accepted : 2013.07.15
  • Published : 2013.09.25
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Abstract

We study lightlike hypersurfaces M of a semi-Riemannian space form $\tilde{M}(c)$ with a semi-symmetric non-metric connection whose structure vector field is tangent to M. Our main result is two characterization theorems for such a lightlike hypersurface.

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References

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