CSpace
Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold Dirac operator
Hijazi, O; Zhang, X
2001-09-01
Source PublicationANNALS OF GLOBAL ANALYSIS AND GEOMETRY
ISSN0232-704X
Volume20Issue:2Pages:163-181
AbstractIn 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.
Keywordconformal geometry Dirac operator energy-momentum tensor spectrum submanifolds
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000170724900003
PublisherKLUWER ACADEMIC PUBL
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16590
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Hijazi, O]'s Articles
[Zhang, X]'s Articles
Baidu academic
Similar articles in Baidu academic
[Hijazi, O]'s Articles
[Zhang, X]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Hijazi, O]'s Articles
[Zhang, X]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.