Spherical product surface having pointwise 1-type Gauss map in Galilean 3-space 𝔾3

Abstract

In this study, we handle the spherical product surface in Galilean [Formula: see text]-space [Formula: see text]. We calculate the Laplacian operator of the Gauss map of this surface. Then we give the necessary and sufficient conditions for spherical product surface to have harmonic Gauss map and we give a visualization of this type surface in [Formula: see text]. Furthermore, we make a classification of spherical product surface having pointwise 1-type Gauss map in [Formula: see text]. Lastly, we visualized this type spherical product surface of the first kind in [Formula: see text].