In this manuscript, we consider an extended version of biconservativity condition (namely, C-biconservativity) on the Riemannian hypersurfaces of Lorentzian standard 4-space forms. This new condition is obtained by substituting the Cheng-Yau operator C instead of the Laplace operator ∆. We show that every C-biconservative Riemannian hypersurface of a Lorentzian 4-space form with constant mean curvature has constant scalar curvature.
