Pseudo-isotropic Lorentzian hypersurfaces in Minkowski space (Q1187362)

The authors study pseudo-isotropic Lorentzian hypersurfaces \(M^ n\) in a Minkowski space \(R_ 1^{n+1}\). A Lorentzian hypersurface \(M^ n\) is called isotropic when its Gauss map is null (or ametrical). This notion has been introduced by R. Rosca. A general result is obtained: \(M^ n\) is pseudo-isotropic if and only if \(M^ n\) is a flat minimal hypersurface in \(R_ 1^{n+1}\). A classification is given for pseudo- isotropic Lorentzian hypersurfaces in \(R_ 1^ 3\) and \(R^ 4_ 1\).