  Wintgen ideal surfaces in E^4 form an important family of surfaces, namely
surfaces with circular ellipse of curvature. Obviously, Wintgen ideal surfaces
satisfy the pointwise equality K+K_N=H^2. In the present study we consider the
Wintgen ideal surfaces in n-dimensional Euclidean space E^4. We have shown that
Wintgen ideal surfaces in E^n satisfying the semiparallelity condition
R(X,Y)h=0 are totally umbilical. Further, we obtain some results in E^4.
