We prove that every biconservative Lorentz hypersurface M₁ⁿ in E ⁿ₁+¹ having complex eigenvalues has constant mean curvature. Moreover, every biharmonic Lorentz hypersurface M₁ⁿ having complex eigenvalues in E ⁿ₁+¹ must be minimal. Also, we provide some examples of such hypersurfaces.
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