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

Abstract

We study lightlike hypersurfaces M of an indefinite Kaehler manifold M of quasi-constant curvature subject to the condition that the characteristic vector field ζ of M is tangent to M. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of M such that (1) the screen distribution S(TM) is totally umbilical or (2) M is screen conformal. ? 2019 Dae Ho Jin et al., published by Sciendo 2019.