Some classifications for Gauss map of Tubular hypersurfaces in E⁴1 concerning linearized operators L_k

In this study, we deal with the Gauss map of tubular hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linearized operators L₁ (Cheng-Yau) and L₂. We obtain the L₁ (Cheng-Yau) operator of the Gauss map of tubular hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyper-spheres whose centers lie on timelike or spacelike curves with non-null Frenet vectors in E⁴1and give some classifications for these hypersurfaces which have generalized^Lk 1-type Gauss map, first kind L_k-pointwise 1-type Gauss map, second kind L_k-pointwise 1-type Gauss map and L_k-harmonic Gauss map, k ∈ {1, 2}.