Chen-like inequalities on lightlike hypersurface of a Lorentzian product manifold with quarter-symmetric non-metric connection

Önen Poyraz, Erol Yaşar
2016 Kragujevac Journal of Mathematics  
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.
doi:10.5937/kgjmath1602146p fatcat:o6sa2dv3tbgwleb66aiz7rymou