Three special classes of Wintgen ideal submanifolds

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 normal scalar curvature. In this paper, we investigate three special classes of Wintgen ideal submanifolds: the ones with constant mean curvature, the ones with constant scalar curvature and the ones with constant normal scalar curvature. Some characterization results are given.