Complete $3$-dimensional $λ$-translators in the Minkowski space $\mathbb{R}^{4}_{1}$

In this paper, we obtain the classification theorem for three-dimensional complete space-like $λ$-translators $x:M^{3} \rightarrow \mathbb R^{4}_{1}$ with constant norm of the second fundamental form and constant $f_{4}$ in the Minkowski space $\mathbb R^{4}_{1}$.

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