Mobius geometry of three-dimensional Wintgen ideal submanifolds in

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 S5. 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).http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000335902700008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedMathematicsSCI(E)1ARTICLExiezhenxiao@126.com; litz@bit.edu.cn; maxiang@math.pku.edu.cn; cpwang@fjnu.edu.cn61203-12205