We study lightlike hypersurfaces M of an indefinite Kaehler manifold M̅ of quasi-constant curvature subject to the condition that the characteristic vector field ζ of M̅ is tangent to M. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of M̅ such that (1) the screen distribution S(TM) is totally umbilical or (2) M is screen conformal.

• 53B25 - Local submanifolds
• 53B30 - Local differential geometry of Lorentz metrics, indefinite metrics
• 53B35 - Local differential geometry of Hermitian and Kählerian structures