Gülbahar M.Kiliç E.Keleş S.2024-08-042024-08-0420131027-5487https://doi.org/10.11650/tjm.17.2013.3185https://hdl.handle.net/11616/90940In this paper, we establish some inequalities involving k-Ricci curvature, k-scalar curvature, the screen scalar curvature on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We compute Chen-Ricci inequality and Chen inequality on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We give an optimal inequality involving the ?(n1,..., nk)-invariant and some characterizations (totally umbilicity, totally geodesicity, minimality, etc.) for lightlike hypersurfaces.eninfo:eu-repo/semantics/openAccessCurvatureLightlike hypersurfaceLorentzian manifoldArticle1762083210010.11650/tjm.17.2013.31852-s2.0-84887838827Q3