Remarks on Thurston’s Construction of Pseudo-Anosov Maps of Riemann Surfaces |
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引用本文: | Chaohui ZHANG?.Remarks on Thurston’s Construction of Pseudo-Anosov Maps of Riemann Surfaces[J].数学年刊B辑(英文版),2008,29(1):85-94. |
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作者姓名: | Chaohui ZHANG? |
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作者单位: | Chaohui ZHANG(Department of Mathematical Sciences, Morehouse College, Atlanta, GA 30314, USA) ; |
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基金项目: | Acknowledgment I would like to thank the referee for valuable comments and suggestions. I also thank my advisors Professor Chengqi He and Professor Jixiu Chen for sharing ideas with me. The paper would not exist without their constant help and encouragement. |
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摘 要: | It is well known that certain isotopy classes of oseudo-Anosov maos on a Riemann surface S of non-excluded type can be defined through Dehn twists tα and tβ along simple closed geodesics α and β on S,respectively. Let G be the corresponding Fuchsian group acting on the hyperbolic plane H so that H/G≌S.For any point α∈S,define S = S/{α}.In this article, the author gives explicit parabolic elements of G from which he constructs pseudo-Anosov classes on S that can be projected to a given pseudo-Anosov class on S obtained from Thurston's construction.
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关 键 词: | 黎曼几何 影射类 德恩扭转 第二类开尔文函数 |
收稿时间: | 13 November 2006 |
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