# 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
• 71 39

#### 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

totally geodesic;semi-symmetric manifold;ascreen lightlike hypersurface;indefinite Sasakian manifold

#### References

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#### Cited by

1. TWO CHARACTERIZATION THEOREMS FOR IRROTATIONAL LIGHTLIKE GEOMETRY vol.28, pp.4, 2013, https://doi.org/10.4134/CKMS.2013.28.4.809
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