Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature

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We study lightlike hypersurfaces M of an indefinite Kaehler manifold of quasi-constant curvature subject to the condition that the characteristic vector field ζ of is tangent to M. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of such that

(1) the screen distribution S(TM) is totally umbilical or

(2) M is screen conformal.

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