Hypersurfaces in non-flat Lorentzian space forms satisfying $L_k\psi =A\psi +b$

Pascual Lucas, H. Fabián Ramírez-Ospina

We study hypersurfaces either in the De Sitter space ${\S }_1^{n+1}\subset {\mathbb{R}}_1^{n+2}$ or in the anti De Sitter space $\H_1^{n+1}\subset\R_2^{n+2}$ whose position vector $\psi$ satisfies t…