Bulletin of the
Korean Mathematical Society BKMS

We study Einstein lightlike hypersurfaces $M$ of a Lorentzian space form $\widetilde{M}(c)$ admitting a semi-symmetric non-metric connection subject to the conditions; (1) $M$ is screen conformal and (2) the structure vector field $\zeta$ of $\widetilde{M}$ belongs to the screen distribution $S(TM)$. The main result is a characterization theorem for such a lightlike hypersurface.

Keywords: screen conformal, lightlike hypersurface, Einstein manifold, semi-symmetric non-metric connection

MSC numbers: Primary 53C25, 53C40, 53C50