@article {
author = {Pashaie, F. and Kashani, S.M.B.},
title = {Spacelike hypersurfaces in Riemannian or Lorentzian space forms satisfying L_k(x)=Ax+b},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {1},
pages = {205-223},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {We study connected orientable spacelike hypersurfaces $x:M^{n}rightarrowM_q^{n+1}(c)$, isometrically immersed into the Riemannian or Lorentzian space form of curvature $c=-1,0,1$, and index $q=0,1$, satisfying the condition $~L_kx=Ax+b$,~ where $L_k$ is the $textit{linearized operator}$ of the $(k+1)$-th mean curvature $H_{k+1}$ of the hypersurface for a fixed integer $0leq k