Investigation of Affine Factorable Surfaces in Pseudo-Galilean Space

Abstract

In this paper, we investigate affine factorable surfaces of the second kind in the three-dimensional pseudo-Galilean space G1 3. We use the invariant theory and theory of diffeerential equations to study the geometric properties of these surfaces, namely, the first and second fundamental forms, Gaussian and mean curvatures. Also, we present some special cases by changing the partial diffeerential equation into the ordinary diffeerential equation to simplify our special cases. Furthermore, we give some theorems according to zero and non-zero Gaussian and mean curvatures of the meant surfaces. Finally, we give some examples to confifirm and demonstrate our results.