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A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE ADMITS SOME HALF LIGHTLIKE SUBMANIFOLDS

  • Jin, Dae Ho (Department of Mathematics Dongguk University)
  • Received : 2012.06.25
  • Published : 2013.05.31
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Abstract

In this paper, we study the curvature of a semi-Riemannian manifold $\tilde{M}$ of quasi-constant curvature admits some half lightlike submanifolds M. The main result is two characterization theorems for $\tilde{M}$ admits extended screen homothetic and statical half lightlike submanifolds M such that the curvature vector field of $\tilde{M}$ is tangent to M.

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References

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Cited by

  1. TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE vol.32, pp.1, 2016, https://doi.org/10.7858/eamj.2016.001
  2. STATICAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE vol.31, pp.2, 2016, https://doi.org/10.4134/CKMS.2016.31.2.365