Killing vector fields on compact Finsler manifolds
文献类型：期刊论文
| 作者 | Li, Jinling1; Qiu, Chunhui2; Zhong, Tongde2 |
| 刊名 | PUBLICATIONES MATHEMATICAE-DEBRECEN
 |
| 出版日期 | 2016 |
| 卷号 | 88期号:1-2页码:3-19 |
| 关键词 | Finsler metric Killing vector field Berwald connection |
| ISSN号 | 0033-3883 |
| DOI | 10.5486/PMD.2016.6039 |
| 英文摘要 | In this paper, we obtain the Weitzenbock type formula for Killing vector fields on a compact Finsler manifold. By using the "Bochner technique", we prove that Killing vector fields are parallel or vanish identically under certain curvature condition and other extra condition. In particular, we discuss Killing vector fields on some compact special Finsler manifolds. Moreover, we prove that the number of the independent Killing vector fields in a Minkowskian space is equal to the dimension of a Minkowskian space. |
| 资助项目 | National Natural Science Foundation of China[11171277] ; National Natural Science Foundation of China[11571288] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000378167500001 |
| 出版者 | KOSSUTH LAJOS TUDOMANYEGYETEM |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22950]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Jinling |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jinling,Qiu, Chunhui,Zhong, Tongde. Killing vector fields on compact Finsler manifolds[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN,2016,88(1-2):3-19. |
| APA | Li, Jinling,Qiu, Chunhui,&Zhong, Tongde.(2016).Killing vector fields on compact Finsler manifolds.PUBLICATIONES MATHEMATICAE-DEBRECEN,88(1-2),3-19. |
| MLA | Li, Jinling,et al."Killing vector fields on compact Finsler manifolds".PUBLICATIONES MATHEMATICAE-DEBRECEN 88.1-2(2016):3-19. |
入库方式： OAI收割
来源：数学与系统科学研究院
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