A characterization of minimal Legendrian submanifolds in S2n+1

CSpace

	A characterization of minimal Legendrian submanifolds in S2n+1
	Le, HV ; Wang, GF
	2001-10-01
发表期刊	COMPOSITIO MATHEMATICA
ISSN	0010-437X
卷号	129 期号:1 页码:87-93
摘要	Let x: L-n --> S2n+1 subset of R2n+2 be a minimal submanifold in bb S2n+1. In this note, we show that L is Legendrian if and only if for any A is an element of su(n + 1) the restriction to L of < Ax, root -1x > satisfies Deltaf = 2(n + 1)f. In this case, 2(n + 1) is an eigenvalue of the Laplacian with multiplicity at least 1/2(n(n + 3)). Moreover if the multiplicity equals to 1/2(n(n + 3)), then L-n is totally geodesic.
关键词	minimal Legendrian submanifolds special Lagrangian cones
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000170964600004
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16530
专题	中国科学院数学与系统科学研究院
通讯作者	Le, HV
作者单位	1.Max Planck Inst Math Sci, D-04103 Leipzig, Germany 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Le, HV,Wang, GF. A characterization of minimal Legendrian submanifolds in S2n+1[J]. COMPOSITIO MATHEMATICA,2001,129(1):87-93.
APA	Le, HV,&Wang, GF.(2001).A characterization of minimal Legendrian submanifolds in S2n+1.COMPOSITIO MATHEMATICA,129(1),87-93.
MLA	Le, HV,et al."A characterization of minimal Legendrian submanifolds in S2n+1".COMPOSITIO MATHEMATICA 129.1(2001):87-93.