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

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	Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold Dirac operator
	Hijazi, O ; Zhang, X
	2001-09-01
发表期刊	ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
ISSN	0232-704X
卷号	20 期号:2 页码:163-181
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.
关键词	conformal geometry Dirac operator energy-momentum tensor spectrum submanifolds
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000170724900003
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/16590
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.