Lorentz hypersurfaces in E1n+1 satisfying ΔH→=λH→ with at most three distinct principal curvatures

This paper is a continuation of our paper (Liu and Yang, 2014 [3]), where we investigate hypersurface Mrn of pseudo-Euclidean space Esn+1 satisfying ΔH→=λH→, and show that if Mrn has diagonalizable shape operator with at most three distinct principal curvatures, then it has constant mean curvature. In this paper, we prove that the same conclusion remains true for such Lorentz hypersurfaces with non-diagonalizable shape operators.