Chen-Like Inequalities on Lightlike Hypersurface of a Lorentzian Product Manifold with Quarter-Symmetric Nonmetric Connection


Nergi̇z (Önen) Poyraz, Erol Yasar




In this paper, we introduce $k$-Ricci curvature and $k$-scalar curvature on lightlike hypersurface of a Lorentzian product manifold with quarter-symmetric nonmetric connection. Using these curvatures, we establish some Chen-type inequalities for lighlike hypersurface of a Lorentzian product manifold with quarter-symmetric nonmetric connection. Considering the equality case, we obtain some results.