  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. Using the framework of
Moebius geometry, we show that in the codimension two case, the mean curvature
sphere of the Wintgen ideal submanifold corresponds to an 1-isotropic
holomorphic curve in a complex quadric Q. Conversely, any 1-isotropic complex
curve in Q describes a 2-parameter family of m-dimensional spheres whose
envelope is always a m-dimensional Wintgen ideal submanifold at the regular
points. The relationship with Dajczer and Tojeiro's work on the same topic as
well as the description in terms of minimal surfaces in the Euclidean space is
also discussed.
