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ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD

  • Jin, Dae Ho (Department of Mathematics, Dongguk University)
  • Received : 2012.11.01
  • Accepted : 2012.02.06
  • Published : 2013.02.28

Abstract

In this paper, we study lightlike hypersurfaces of an indefinite Sasakian manifold $\bar{M}$. First, we construct a type of lightlike hypersurface according to the form of the structure vector field of $\bar{M}$, named by ascreen lightlike hypersurface. Next, we characterize the geometry of such ascreen lightlike hypersurfaces.

Keywords

References

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  2. ASCREEN LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION vol.29, pp.2, 2014, https://doi.org/10.4134/CKMS.2014.29.2.311
  3. INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN LIGHTLIKE HYPERSURFACE vol.35, pp.4, 2013, https://doi.org/10.5831/hmj.2013.35.4.657
  4. SINGULAR THEOREMS FOR LIGHTLIKE SUBMANIFOLDS IN A SEMI-RIEMANNIAN SPACE FORM vol.30, pp.3, 2013, https://doi.org/10.7858/eamj.2014.027
  5. Remarks on Screen Integrable Null Hypersurfaces in Lorentzian Manifolds vol.16, pp.4, 2013, https://doi.org/10.15407/mag16.04.460