Spacelike hypersurfaces in the Lorentz-Minkowski space satisfying \(L_rx=Rx+b\) (Q971473)

The operator \(L_r\) in the title refers to the linearized mean curvature \(H_{r+1}\) of a hypersurface, \(R\) denotes a constant matrix and \(b\) is a constant vector. A paper by \textit{L. Alías} and \textit{N.Gürbüz} [Geom. Dedicata 121, 113--127 (2006; Zb1 1119.53004)] gives a classification of hypersurfaces of Euclidean space satisfying this equation. In the present paper this is carried over to spacelike hypersurfaces of Lorentz-Minkowski space \(\mathbb{L}^{n+1}\).