Some Inequalities on Half Lightlike Submanifolds of a Lorentzian Manifold with Semi-Symmetric Metric Connection

Abstract

In this paper, we introduce some inequalities for screen homothetic half lightlike submanifolds of a real space form of constant sectional curvature , endowed with semi-symmetric metric connection. Using these inequalities, we derive some characterizations for such half lightlike submanifolds. Finally, Chen-Ricci inequalities are calculated. Morever, the equality cases are considered and we get some results.