Biharmonic Lorentz hypersurfaces in E14

• Autores: Andreas Arvanitoyeorgos, Filip Defever, George Kaimakamis, Vassilis Papantoniou
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 229, Nº 2, 2007, págs. 293-306
• Idioma: inglés
• DOI: 10.2140/pjm.2007.229.293
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• Resumen

  • 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.