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VARIABILITY SETS AND HAMILTON SEQUENCES

VARIABILITY SETS AND HAMILTON SEQUENCES
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摘要 This paper studies extremal quasiconformal mappings. Some properties of the variability set are obtained and the Hamilton sequences which are induced by point shift differentials are also discussed.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2005年第4期543-550,共8页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No.10171003, No.10231040) the Doctoral Education Program Foundation of China.
关键词 Quasiconformal mapping Point shift differentials Hamilton sequence Extremal mapping 可变级数 Hamilton序列 等角映射 点转换微分 极值映射
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参考文献7

  • 1Gardiner, F., Teichmüller Theory and Quadratic Differentials, Wiley, New York, 1987.
  • 2Strebel, K., On the existence of extremal Teichmüller mappings, J. Analyse Math., 30(1976), 464-480.
  • 3Strebel, K., Point shift differentials and extremal quasiconformal mappings, Annale. Scie. Fenn. Math.,23(1998), 475-494.
  • 4Wu, S. J., Hamilton sequence for extremal quasiconformal mappings of the unit disc, Science in China,Ser. A, 42:10(1999), 1033-1042.
  • 5Qi, Y. & Wu, S. J., Non-Strebel points and variability sets, Science in China, Ser. A, 46:4(2003),525-529.
  • 6Li, Z., Strebel differentials and Hamilton sequences, Science in China, Ser. A, 44:8(2001), 969-979.
  • 7Li, Z. & Qi, Y., A note on point shift differentials, Science in China, Ser. A, 42:5(1999), 449-455.

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