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	Wintgen ideal submanifolds with a low-dimensional integrable distribution
	Li, Tongzhu ; Ma, Xiang ; Wang, Changping
	2015
关键词	Wintgen ideal submanifold DDVV inequality super-conformal surface super-minimal surface DDVV CONJECTURE SPACE-FORMS S-N CURVATURE INEQUALITY EQUALITY GEOMETRY
英文摘要	Submanifolds in space forms satisfy the well-known DDVV inequality. A submanifold attaining equality in this inequality pointwise is called a Wintgen ideal submanifold. As conformal invariant objects, Wintgen ideal submanifolds are investigated in this paper using the framework of Mobius geometry. We classify Wintgen ideal submanfiolds of dimension m a (c) 1/2 3 and arbitrary codimension when a canonically defined 2-dimensional distribution is integrable. Such examples come from cones, cylinders, or rotational submanifolds over super-minimal surfaces in spheres, Euclidean spaces, or hyperbolic spaces, respectively. We conjecture that if generates a k-dimensional integrable distribution and k < m, then similar reduction theorem holds true. This generalization when k = 3 has been proved in this paper.; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 0; ARTICLE; litz@bit.edu.cn; 1; 111-136; 10
语种	英语
出处	SCI
出版者	frontiers of mathematics in china
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/386029]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Tongzhu,Ma, Xiang,Wang, Changping. Wintgen ideal submanifolds with a low-dimensional integrable distribution. 2015-01-01.

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