Abstract:In the present work, we classify normalized null hypersurfaces x : (M, g, N ) → Q n+2 1 (c) immersed into one of the two real standard non-flat Lorentzian space-forms and satisfying the equation Lrx = U x + b for some field of screen constant matrices U and some field of screen constant vectors b ∈ R n+2 , where Lr is the linearized operator of the (r + 1)−mean curvature of the normalized null hypersurface for r = 0, ..., n. We show that if the immersion x is a solution of the equation Lrx = U x + b for 1 ≤ r … Show more
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