  Wintgen ideal submanifolds in space forms are those ones attaining equality
pointwise in the so-called DDVV inequality which relates the scalar curvature,
the mean curvature and the scalar normal curvature. They are Moebius invariant
objects. The mean curvature sphere defines a conformal Gauss map into a
Grassmann manifold. We show that any Wintgen ideal submanifold has a Riemannian
submersion structure over a Riemann surface with the fibers being round
spheres. Then the conformal Gauss map is shown to be a super-conformal and
harmonic map from the underlying Riemann surface. Some of our previous results
are surveyed in the final part.
