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	Mobius geometry of three-dimensional Wintgen ideal submanifolds in
	Xie ZhenXiao ; Li TongZhu ; Ma Xiang ; Wang ChangPing
	2014
关键词	Wintgen ideal submanifolds DDVV inequality Mobius geometry austere submanifolds complex curves DDVV CONJECTURE S-N INEQUALITY CURVATURE EQUALITY SURFACES
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 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=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; xiezhenxiao@126.com; litz@bit.edu.cn; maxiang@math.pku.edu.cn; cpwang@fjnu.edu.cn; 6; 1203-1220; 57
语种	英语
出处	SCI
出版者	science china mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157353]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xie ZhenXiao,Li TongZhu,Ma Xiang,et al. Mobius geometry of three-dimensional Wintgen ideal submanifolds in. 2014-01-01.

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