Isometries in hyperbolic spaces
文献类型：期刊论文
| 作者 | Huang ManZi1; Wang XianTao1; Wang YueFei2
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010 |
| 卷号 | 53期号:1页码:71-86 |
| 关键词 | surjective map geodesic hyperplane isometry Mobius transformation |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-0005-y |
| 英文摘要 | Suppose that f : H(n) -> H(n) (n >= 2) maps any r-dimensional hyperplane (1 <= r < n) into an r- dimensional hyperplane. In this paper, we prove that f is an isometry if and only if f is a surjective map. This result gives an affirmative answer to a recent conjecture due to Li and Yao. |
| 资助项目 | National Natural Science Foundation of China[10771059] ; Tianyuan Foundation |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000276546200006 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10489]  |
| 专题 | 数学所 |
| 通讯作者 | Huang ManZi |
| 作者单位 | 1.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang ManZi,Wang XianTao,Wang YueFei. Isometries in hyperbolic spaces[J]. SCIENCE CHINA-MATHEMATICS,2010,53(1):71-86. |
| APA | Huang ManZi,Wang XianTao,&Wang YueFei.(2010).Isometries in hyperbolic spaces.SCIENCE CHINA-MATHEMATICS,53(1),71-86. |
| MLA | Huang ManZi,et al."Isometries in hyperbolic spaces".SCIENCE CHINA-MATHEMATICS 53.1(2010):71-86. |
入库方式： OAI收割
来源：数学与系统科学研究院
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