Abstract
In the present paper, we shall investigate and classify Lorentzian hypersurfaces in Lorentzian space forms satisfying some curvature conditions. We shall focus especially on semi-symmetric Lorentzian hypersurfaces. Those of constant curvature and those so-called "good" are explicitly described and classified. We shall also classify Einstein-Lorentzian hypersurfaces. (C) 2013 Elsevier B.V. All rights reserved.