QQ客服 官方微博 反馈留言

	A Moebius characterization of Veronese surfaces in S-n
	Li, HZ ; Wang, CP ; Wu, F
	2001
英文摘要	Let M-m be an umbilic-fret submanifold in S-n with I and II as the first and second fundamental forms. An important Moebius invariant for M-m in Moebius differential geometry is the so-called Moebius form Phi .defined by Phi = -rho (-2) Sigma (i,alpha) (H-i(alpha) + Sigma (j)(IIijalpha - (HIij)-I-alpha)e(j)(log rho))omega (i) circle times e(alpha), where (e(i)) is it local basis of the tangent bundle with dual basis (omega (i)), (e(alpha)) is a local basis of the normal bundle, H = Sigma (alpha) H(alpha)e(alpha) is the mean curvature vector and rho = rootm/m-1 parallel to II - HI parallel to. In this paper we prove that if x : S-2 --> S-n is an umbilics-free immersion of 2-sphere with vanishing Moebius form Phi. then there exists a Moebius transformation tau : S-n --> S-n and a 2k-equator S-2k subset of S-n with 2 less than or equal to k less than or equal to [n/2] such that tau o x S-2 --> S-2k is the Veronese surface.; Mathematics; SCI(E); 26; ARTICLE; 4; 707-714; 319
语种	英语
出处	SCI
出版者	mathematische annalen
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/211211]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, HZ,Wang, CP,Wu, F. A Moebius characterization of Veronese surfaces in S-n. 2001-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。