In this work we establish sufficient conditions to ensure that an entire spacelike graph immersed with constant mean curvature in a Lorentzian product space, whose Riemannian fiber has sectional curvature bounded from below, must be a trivial slice of the ambient space.
Henrique F. de Lima. Eraldo A. Lima Jr. "Entire Spacelike $H$-Graphs in Lorentzian Product Spaces." Publ. Mat. 60 (2) 273 - 287, 2016. https://doi.org/10.5565/PUBLMAT_60216_01