HONAM MATHEMATICAL JOURNAL, vol.44, no.3, pp.339-359, 2022 (ESCI)
In this paper, we investigate k-Ricci curvature and k-scalar
curvature on lightlike hypersurfaces of a real space form M˜ (c) of constant
sectional curvature c, endowed with semi-symmetric non-metric connection. Using this curvatures, we establish some inequalities for screen
homothetic lightlike hypersurface of a real space form M˜ (c) of constant
sectional curvature c, endowed with semi-symmetric non-metric connection. Using these inequalities, we obtain some characterizations for such
hypersurfaces. Considering the equality case, we obtain some results.