Mobius geometry of three-dimensional Wintgen ideal submanifolds in S super(5)

Wintgen ideal submanifolds in space forms are those ones attaining equality at every point in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the normal scalar curvature. This property is conformal invariant; hence we study them in the framework of Mobius geometry, and restrict to three-dimensional Wintgen ideal submanifolds in S super(5). In particular, we give Mobius characterizations for minimal ones among them, which are also known as (3-dimensional) austere submanifolds (in 5-dimensional space forms).