S^5中三维Wintgen理想子流形的Moebius几何
Moebius geometry of three dimensional Wintgen ideal submanifolds in S^5
摘要：
空间型中的Wintgen理想子流形是那些在所谓的DDVV不等式中的每一点处都相等的子流形，DDVV不等式将数量曲率、中曲率和法数量曲率联系起来。这个性质是共形不变量，因此我们在Moebius几何的框架下研究它们，并限制到S ^5中的三维Wintgen理想子流形。特别是我们给其中最小的Moebius特征，这也被称为（3维）austere子流形（在5维空间型）。
英文摘要：
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 Moebius geometry, and restrict to three dimensional Wintgen ideal submanifolds in S^5. In particular we give Moebius characterizations for minimal ones among them, which are also known as (3-dimensional) austere submanifolds (in 5-dimensional space forms).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
