Lower bounds for the eigenvalues of the Dirac operator: Part I. The hypersurface Dirac operator
文献类型：期刊论文
| 作者 | Hijazi, O; Zhang, X |
| 刊名 | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
 |
| 出版日期 | 2001 |
| 卷号 | 19期号:4页码:355-376 |
| 关键词 | conformal geometry Dirac operator hypersurfaces spectrum |
| ISSN号 | 0232-704X |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000169207500004 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16809]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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