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Dirac operator on embedded hypersurfaces
Hijazi, O; Montiel, S; Zhang, X
2001
Source PublicationMATHEMATICAL RESEARCH LETTERS
ISSN1073-2780
Volume8Issue:1-2Pages:195-208
AbstractNew extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. The main tool is to solve some boundary problems for the Dirac operator of the domain under boundary conditions of Atiyah-Patodi-Singer type. Spinorial techniques are used to give simple proofs of classical results for compact embedded hypersurfaces.
Keywordmanifolds with boundary Dirac operator spectrum
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000168616600017
PublisherINT PRESS BOSTON
Citation statistics
Cited Times:37[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16798
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 Nancy, France
2.Univ Granada, Dept Geometria & Topol, Granada 18071, Spain
3.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Hijazi, O,Montiel, S,Zhang, X. Dirac operator on embedded hypersurfaces[J]. MATHEMATICAL RESEARCH LETTERS,2001,8(1-2):195-208.
APA Hijazi, O,Montiel, S,&Zhang, X.(2001).Dirac operator on embedded hypersurfaces.MATHEMATICAL RESEARCH LETTERS,8(1-2),195-208.
MLA Hijazi, O,et al."Dirac operator on embedded hypersurfaces".MATHEMATICAL RESEARCH LETTERS 8.1-2(2001):195-208.
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