Extrinsic estimates for eigenvalues of the Dirac operator

doi:10.1007/s00209-008-0376-8

CSpace

	Extrinsic estimates for eigenvalues of the Dirac operator
	Chen, Daguang 1,2
	2009-06-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	262 期号:2 页码:349-361
摘要	For a compact spin manifold M isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the square of the Dirac operator, which depend on the second fundamental form of the embedding. We also show the bounds of the ratio of the eigenvalues. Since the unit sphere and the projective spaces admit the standard embedding into Euclidean spaces, we also obtain the corresponding results for their compact spin submanifolds.
关键词	Eigenvalue Dirac operator Yang-type inequality Test spinor
DOI	10.1007/s00209-008-0376-8
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000265442300006
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7291
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Daguang
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Daguang. Extrinsic estimates for eigenvalues of the Dirac operator[J]. MATHEMATISCHE ZEITSCHRIFT,2009,262(2):349-361.
APA	Chen, Daguang.(2009).Extrinsic estimates for eigenvalues of the Dirac operator.MATHEMATISCHE ZEITSCHRIFT,262(2),349-361.
MLA	Chen, Daguang."Extrinsic estimates for eigenvalues of the Dirac operator".MATHEMATISCHE ZEITSCHRIFT 262.2(2009):349-361.