Extrinsic estimates for eigenvalues of the Dirac operator
文献类型：期刊论文
| 作者 | Chen, Daguang1,2 |
| 刊名 | MATHEMATISCHE ZEITSCHRIFT
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 262期号:2页码:349-361 |
| 关键词 | Eigenvalue Dirac operator Yang-type inequality Test spinor |
| ISSN号 | 0025-5874 |
| DOI | 10.1007/s00209-008-0376-8 |
| 英文摘要 | For a compact spin manifold M isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the square of the Dirac operator, which depend on the second fundamental form of the embedding. We also show the bounds of the ratio of the eigenvalues. Since the unit sphere and the projective spaces admit the standard embedding into Euclidean spaces, we also obtain the corresponding results for their compact spin submanifolds. |
| 语种 | 英语 |
| WOS记录号 | WOS:000265442300006 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7290]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Daguang |
| 作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Daguang. Extrinsic estimates for eigenvalues of the Dirac operator[J]. MATHEMATISCHE ZEITSCHRIFT,2009,262(2):349-361. |
| APA | Chen, Daguang.(2009).Extrinsic estimates for eigenvalues of the Dirac operator.MATHEMATISCHE ZEITSCHRIFT,262(2),349-361. |
| MLA | Chen, Daguang."Extrinsic estimates for eigenvalues of the Dirac operator".MATHEMATISCHE ZEITSCHRIFT 262.2(2009):349-361. |
入库方式： OAI收割
来源：数学与系统科学研究院
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