Abstract
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.
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Turgay, N.C. Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space. Mediterr. J. Math. 13, 401–412 (2016). https://doi.org/10.1007/s00009-014-0491-1
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DOI: https://doi.org/10.1007/s00009-014-0491-1