Chen inequalities on spacelike hypersurfaces of a GRW spacetime (Q2669000)

A generalized Robertson-Walker (GRW) spacetime is defined as the warped product \(L^{n+1}(c, f ) = I \times_f F\), where \(I\subset R\) is an interval with the metric \(-dt^2\) and \(F\) is an \(n\)-dimensional Riemannian manifold. In this paper, the author establishes some Chen-like inequalities for space-like hypersurfaces in GRW spacetimes and characterize the second fundamental form of those hypersurfaces for which the equality case holds.