Translation hypersurfaces in Lorentz-Minkowski spaces satisfying $L_{n-1}G=AG$
DOI:
https://doi.org/10.30495/jme.v0i0.1505Abstract
In this paper, we give a complete classification of the translation hypersurfaces in the
$(n+1)$-dimensional
Lorentz-Minkowski space whose Gauss map G satisfies the condition
$L_{n-1}G=AG$
where $L_{n-1}$ is the linearized
operator of the first variation of the the Gauss-Kronecker curvature of the hypersurface and
$A\in \mathbb{R}^{(n+1)\times(n+1)}$
is a constant matrix.\\
\textbf{Keywords:} Gauss-Kronecker curvature, Lorentz-Minkowski space, Linearized operator $L_{n-1}$, Translation hypersurface.
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