Surfaces of revolution with vanishing curvature in Galilean 3-space

In the paper, three types of surfaces of revolution in the Galilean 3-space are defined and studied. The construction of the well-known surface of revolution, defined as the trace of a planar curve rotated about an axis in the supporting plane of the curve, is given for the Galilean 3-space. Then we classify the surfaces of revolution with vanishing Gaussian curvature or vanishing mean curvature in the Galilean 3-space.