TRANSLATION SURFACES OF TYPE 2 IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE I13

Abstract

In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space <TEX>${\mathbb{I}}_3^1$</TEX> satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.