Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold Dirac operator

	Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold Dirac operator
	Hijazi, O ; Zhang, X
刊名	ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
	2001-09-01
卷号	20 期号:2 页码:163-181
关键词	conformal geometry Dirac operator energy-momentum tensor spectrum submanifolds
ISSN号	0232-704X
英文摘要	In this paper we generalize the results of Part I to the submanifold Dirac operator. In particular, we give optimal lower bounds for the submanifold Dirac operator in terms of the mean curvature and other geometric invariants as the Yamabe number or the energy-momentum tensor. In the limiting case, we prove that the submanifold is Einstein if the normal bundle is flat.
WOS研究方向	Mathematics
语种	英语
出版者	KLUWER ACADEMIC PUBL
WOS记录号	WOS:000170724900003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/16589]
专题	中国科学院数学与系统科学研究院
作者单位	1.Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hijazi, O,Zhang, X. Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold Dirac operator[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY,2001,20(2):163-181.
APA	Hijazi, O,&Zhang, X.(2001).Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold Dirac operator.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY,20(2),163-181.
MLA	Hijazi, O,et al."Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold Dirac operator".ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 20.2(2001):163-181.