Some properties of the clifford torus as rotation surfaces

In this article, we. study rotation surfaces in the 4-dimensional Euclidean space IE4. Also, we. obtain,the complete classification theorems for the flat rotation surfaces. with pointwise, 1-type Gausss map and an equation in terms of the mean curvature vector. In fact, we chracterize the flat rotation surfaces of finite type immersion with Gauss map and the mean curvature vector filed, namely the pointwise 1-type Gauss map and some algebraic equations in terms of the Gauss map and the mean curvature vector field related to the Laplacian of the surface with respect to the induced metric.