A classification of Einstein lightlike hypersurfaces of a Lorentzian space form (Q608305)

A classical result due to Fialkow and Thomas deals with the classification of connected Einstein hypersurfaces in \(\mathbb R^{n+1}\). The present paper is aimed at providing a light-like version of the above classical result. Indeed, the authors study light-like hypersurfaces of a distinguished family of semi-Riemannian manifolds of constant curvature. As main result, the authors obtain a classification of Einstein light-like hypersurfaces of Lorentzian space forms.