| A Note on the Uniqueness of Koebe–Andreev–Thurston Theorem |
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| 基金项目： | Supported by National Natural Science Foundation of China （Grant No. 10701084）Acknowledgements We would like to thank Prof. Liu Jinsong for his instructive help and stimulating discussion. |
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| 摘 要： |
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| 关 键 词： | Circle packing argument principle Mbius transformation |
A note on the uniqueness of Koebe-Andreev-Thurston theorem |
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| Xiao Jun Huang,Zi Peng Wang. A note on the uniqueness of Koebe-Andreev-Thurston theorem[J]. Acta Mathematica Sinica(English Series), 2012, 28(7): 1469-1474. DOI: 10.1007/s10114-012-9584-6 |
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| Authors: | Xiao Jun Huang Zi Peng Wang |
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| Affiliation: | 1. College of Mathematics and Statistics, Chongqing University, Chongqing, 400044, P. R. China
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| Abstract: | In this paper, we present a new proof of the uniqueness of Koebe-Andreev-Thurston theorem. Our method is based on the argument principle in complex analysis and reviews the connection between the circle packing theorem and complex analysis. |
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| Keywords: | Circle packing argument principle MSbius transformation |
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