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arXiv 2014-06-29 0 views

Some classifications of biharmonic Lorentzian hypersurfaces in Minkowski 5-space E⁵₁

Turgay, Nurettin Cenk

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In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polinomial is (t-k₁)²(t-k₃)(t-k₄) or (t-k₁)³(t-k₄). We proved that in these cases, a hypersurface is biharmonic if and only if it is minimal.

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