Abstract : In this paper, we prove a classification theorem for Einstein lightlike hypersurfaces $M$ of a Lorentzian space form $(\bar{M}(c),\,\bar{g})$ with a semi-symmetric metric connection subject such that the second fundamental forms of $M$ and its screen distribution $S(TM)$ are conformally related by some non-zero constant.
Keywords : screen homothetic, Einstein manifold, semi-symmetric metric connection
