Surfaces of revolution in the three dimensional simply isotropic space \(\mathbb I_3^1\) (Q527341)

Summary: In this paper, we classify surfaces of revolution in the three dimensional simply isotropic space \(\mathbb{I}_{3}^{1}\) satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first and the second fundamental forms of the surface. We also give explicit forms of these surfaces.