| Schwarz's lemma for the circle packings with the general combinatorics | |
Huang XiaoJun1; Liu JinSong2 ; Shen Liang2
| |
| 2010-02-01 | |
| 发表期刊 | SCIENCE CHINA-MATHEMATICS
 |
| ISSN | 1674-7283 |
| 卷号 | 53期号:2页码:275-288 |
| 摘要 | Rodin (1987) proved the Schwarz's lemma analog for the circle packings based on the hexagonal combinatorics. In this paper, we prove the Schwarz's lemma for the circle packings with the general combinatorics and our proof is more simpler than Rodin's proof. At the same time, we obtain a rigidity property for those packings with the general combinatorics. |
| 关键词 | circle packing discrete extremal length the maximum principle hyperbolic geometry |
| DOI | 10.1007/s11425-009-0125-4 |
| 语种 | 英语 |
| 资助项目 | Natural Science Foundation of China[10701084] ; Natural Science Foundation of China[10501046] ; Natural Science Foundation of Chongqing, China[CSTC2008BB0151] |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| WOS记录号 | WOS:000276596100003 |
| 出版者 | SCIENCE CHINA PRESS |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/9891 |
| 专题 | 数学所 |
| 通讯作者 | Huang XiaoJun |
| 作者单位 | 1.Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang XiaoJun,Liu JinSong,Shen Liang. Schwarz's lemma for the circle packings with the general combinatorics[J]. SCIENCE CHINA-MATHEMATICS,2010,53(2):275-288. |
| APA | Huang XiaoJun,Liu JinSong,&Shen Liang.(2010).Schwarz's lemma for the circle packings with the general combinatorics.SCIENCE CHINA-MATHEMATICS,53(2),275-288. |
| MLA | Huang XiaoJun,et al."Schwarz's lemma for the circle packings with the general combinatorics".SCIENCE CHINA-MATHEMATICS 53.2(2010):275-288. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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