JOURNAL OF MATHEMATICAL EXTENSION, vol.13, no.2, pp.137-156, 2019 (ESCI)
In this paper, we classify translation surfaces of Type1 in the three dimensional semi- isotropic space SI3 under the condition Delta(J) x(i), = lambda(i)x(i), where Delta(J) denotes the Laplacian of the surface with respect to the first, the second and the third fundamental forms. We also give explicit forms of these surfaces.