Geodesic
Chen-Like Inequalities on Lightlike Hypersurface of a Lorentzian Product Manifold with Quarter-Symmetric Nonmetric Connection
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 146

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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.
Classification : 53B05, 53B15, 53C40, 53C042, 53C50
Keywords: Lightlike hypersurface, Lorentzian manifold, Quarter-symmetric nonmetric connection, Curvature, Ricci curvature 
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Nergi; z ; Önen;  Poyraz; Erol Yasar. Chen-Like Inequalities on Lightlike Hypersurface of a Lorentzian Product Manifold with Quarter-Symmetric Nonmetric Connection. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 146 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a1/