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.

Keywords

• Chen inequalities;
• Half lightlike submanifold;
• Semi-symmetric metric connection

References

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