Lower bounds for the eigenvalues of the Dirac operator: Part I. The hypersurface Dirac operator

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	Lower bounds for the eigenvalues of the Dirac operator: Part I. The hypersurface Dirac operator
	Hijazi, O ; Zhang, X
	2001
发表期刊	ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
ISSN	0232-704X
卷号	19 期号:4 页码:355-376
摘要	We give optimal lower bounds for the hypersurface Dirac operator in terms of the Yamabe number, the energy-momentum tensor and the mean curvature. In the limiting case, we prove that the hypersurface is an Einstein manifold with constant mean curvature.
关键词	conformal geometry Dirac operator hypersurfaces spectrum
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000169207500004
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/16810
专题	中国科学院数学与系统科学研究院
作者单位	1.Univ Henri Poincare, Inst Elie Cartan, F-54506 Vandoeuvre 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 I. The hypersurface Dirac operator[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY,2001,19(4):355-376.
APA	Hijazi, O,&Zhang, X.(2001).Lower bounds for the eigenvalues of the Dirac operator: Part I. The hypersurface Dirac operator.ANNALS OF GLOBAL ANALYSIS AND GEOMETRY,19(4),355-376.
MLA	Hijazi, O,et al."Lower bounds for the eigenvalues of the Dirac operator: Part I. The hypersurface Dirac operator".ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 19.4(2001):355-376.