In real space forms, any submanifold must satisfy the so-called DDVV inequality which relates the scalar curvature, the mean curvature, and the scalar normal curvature pointwise. When the equality is attained at each point, it is called a Wintgen ideal submanifold. This property is invariant under the conformal transformations. So we try to give a complete classification of this class of submanifolds. This is done under the additional assumption of Möbius homogeneity in this paper. Some new interesting examples are constructed using the real representation of SU(2), which turn out to constitute the majority of Möbius homogeneous Wintgen ideal submanifolds. The classification follows by constructing a frame sequence. This reveals a wonderful connection with the classical harmonic sequence of Riemann surfaces.

在实空间形式中，任何子流形都必须满足所谓的DDVV不等式，该不等式将标量曲率，平均曲率和标量法向曲率按点关联起来。当在每个点上实现相等时，它称为Wintgen理想子流形。在共形变换下，此属性不变。因此，我们尝试给出此类子流形的完整分类。这是在本文中Möbius同质性的其他假设下完成的。使用SU（2）的真实表示构造了一些新的有趣示例，事实证明它们构成了Möbius齐次Wintgen理想子流形的大部分。通过构造帧序列来进行分类。这揭示了与黎曼曲面的经典谐波序列的奇妙联系。