In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators L₁ and L₂, where L₁ is usually called as the Cheng-Yau operator. We obtain some classifications of rotational hypersurfaces which have Lₖ-harmonic Gauss map, Lₖ-pointwise 1-type Gauss map and generalized Lₖ 1-type Gauss map, where $k = 1,2$.
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Kazan et al. (2024) studied this question.
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