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Circle patterns on
surfaces of finite topological type revisited
Yue-Ping Jiang, QiangHua Luo and Ze Zhou |
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Vol. 306 (2020), No. 1, 203–220
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Abstract |
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Using topological degree theory, we obtain the existence of circle patterns with prescribed combinatorial type and obtuse exterior intersection angles on surfaces of finite topological type. As consequences, several generalizations of circle pattern theorem are obtained. |
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Keywords
circle patterns, topological degree
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Mathematical Subject Classification 2010
Primary: 52C25, 52C26
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Milestones
Received: 13 May 2019
Revised: 20 December 2019
Accepted: 20 December 2019
Published: 14 June 2020
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Authors |
| Yue-Ping Jiang | |
| Key Lab of Intelligent Information
Processing and Applied Mathematics School of Mathematics Hunan University Changsha China |
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| QiangHua Luo | |
| Key Lab of Intelligent Information
Processing and Applied Mathematics School of Mathematics Hunan University Changsha China |
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| Ze Zhou | |
| School of Mathematics Hunan University Changsha China |
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