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arXiv · 1408.5376

Some classifications of biharmonic Lorentzian hypersurfaces in Minkowski 5-space $\mathbb E^5_1$

Nurettin Cenk Turgay
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Abstract

In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polinomial is $(t-k_1)^2(t-k_3)(t-k_4)$ or $(t-k_1)^3(t-k_4)$. We proved that in these cases, a hypersurface is biharmonic if and only if it is minimal.

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Nurettin Cenk Turgay. 2014-06-29. Some classifications of biharmonic Lorentzian hypersurfaces in Minkowski 5-space $\mathbb E^5_1$. https://arxiv.org/abs/1408.5376

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