Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space

摘要

In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polynomial is (t - k (1))(2)(t - k (3))(t - k (4)) or (t - k (1))(3)(t - k (4)). We prove that in these cases, a hypersurface is biharmonic if and only if it is minimal.