Rotational \(K^{\alpha}\)-translators in Minkowski space (Q6137744)

A space-like surface in Minkowski space \(\mathbb{R}^{3}_{1}\) is called a \(K^{\alpha}\)-translator of the flow by powers of the Gauss curvature if it satisfies \[ K^{\alpha}=\langle N, \vec{v} \rangle \ \ \ \alpha\neq 0 \ , \] where \(K\) is the Gauss curvature, \(N\) is the unit normal vector field and \(\vec{v}\) is a direction of \(\mathbb{R}^{3}_{1}\). This paper classifies all rotational \(K^{\alpha}\)-translators, giving explicit parametrizations of them, depending on the causal character of the causal axis.