Resumen de Biharmonic Lorentz hypersurfaces in E14

Andreas Arvanitoyeorgos, Filip Defever, George Kaimakamis, Vassilis Papantoniou

• A submanifold Mrn of pseudo-Euclidean space Es4 is said to have harmonic mean curvature vector if ?H = 0, where H denotes the mean curvature vector field and ? the Laplacian of the induced pseudo-Riemannian metric. We prove that every nondegenerate Lorentz hypersurface M13 of E14 with harmonic mean curvature vector is minimal.