Resumen de Biconservative Lorentz hypersurfaces in E ⁿ₁+¹ with complex eigenvalues

Ram Shankar Gupta, Ahmad Sharfuddin

• 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.