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Schwarz's lemma for the circle packings with the general combinatorics

文献类型:期刊论文

作者Huang XiaoJun1; Liu JinSong2; Shen Liang2
刊名SCIENCE CHINA-MATHEMATICS
出版日期2010-02-01
卷号53期号:2页码:275-288
关键词circle packing discrete extremal length the maximum principle hyperbolic geometry
ISSN号1674-7283
DOI10.1007/s11425-009-0125-4
英文摘要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.
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
语种英语
WOS记录号WOS:000276596100003
出版者SCIENCE CHINA PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9890]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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