East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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SINGULAR THEOREMS FOR LIGHTLIKE SUBMANIFOLDS IN A SEMI-RIEMANNIAN SPACE FORM

  • Jin, Dae Ho (Department of Mathematics Dongguk University)
  • Received : 2014.02.06
  • Accepted : 2014.05.26
  • Published : 2014.05.31
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Abstract

We study the geometry of lightlike submanifolds of a semi-Riemannian manifold. The purpose of this paper is to prove two singular theorems for irrotational lightlike submanifolds M of a semi-Riemannian space form $\bar{M}(c)$ admitting a semi-symmetric non-metric connection such that the structure vector field of $\bar{M}(c)$ is tangent to M.

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References

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