Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds

G. Gupta, R. Kumar, R. K. Nagaich

We study lightlike hypersurfaces of semi-Riemannian manifolds admitting a semi-symmetric non-metric connection whose structure vector field is tangent to the hypersurface. We prove that the null sectional curvature of the lightlike hypersurface vanishes. We obtain Chen-like inequalities on lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 14(4) (2021), pp. 97-110