Lower bounds for the eigenvalues of the Dirac operator: Part II. The submanifold 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 | 2001-09-01 |
| 卷号 | 20期号:2页码:163-181 |
| 关键词 | conformal geometry Dirac operator energy-momentum tensor spectrum submanifolds |
| ISSN号 | 0232-704X |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000170724900003 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16589]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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