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Stable Teichmller mappings of type (0,4)

Stable Teichmller mappings of type (0,4)
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摘要 Let X = C\{0,1} and X = X\{}. We get a necessary and suficient condition on the position of in X such that X has stable Teichmller mappings. Furthermore, we can formulate all these stable Teichmller mappings. The main result in this paper partially answers a question posed by Kra. Let X = C/{0,1} and X = X/{}. We get a necessary and suficient condition on the position of in X such that X has stable Teichmller mappings. Furthermore, we can formulate all these stable Teichmller mappings. The main result in this paper partially answers a question posed by Kra.
机构地区 LMAM
出处 《Science China Mathematics》 SCIE 2011年第7期1379-1388,共10页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.10671004, 10831004)
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参考文献3

  • 1A. Marden,K. Strebel. Pseudo-anosov Teichmueller mappings[J] 1986,Journal d’Analyse Mathématique(1):194~220
  • 2Irwin Kra. On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces[J] 1981,Acta Mathematica(1):231~270
  • 3Lipman Bers. An extremal problem for quasiconformal mappings and a theorem by Thurston[J] 1978,Acta Mathematica(1):73~98

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