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极值Beltrami系数的Hamilton序列
On Hamilton Sequences for Extremal Beltrami Coefficients
【摘要】 考虑了Strebel点与Hamilton序列之间的关系.这个问题是Gardiner F.P.最早研究的(见[Approximation of infinite-dimensional Teichmller spaces,Trans.Amer.Math.Soc.,1984,282(1):367-383]).在无限小Teichmller空间中,证明了范金华在[On infinitesimal Teichmllerspace,Bull.Austral.Math.Soc.,2008,78:293-300]中得到的使{φ_n}成为Hamilton序列的充分条件不是必要的.
【Abstract】 In this paper,the relationship between Hamilton sequence and Strebel points is discussed,which was first studied by F.P.Gardiner in[Approximation of infinite-dimensional Teichmller spaces,Trans.Amer.Math.Soc,1984,282(1):367-383].The authors prove that in the case of infinitesimal Teichmller space,the sufficient condition for {φ_n} to be a Hamilton sequence obtained by Fan in[On infinitesimal Teichmller space,Bull.Austral. Math.Soc,2008,78:293-300]is not necessary.
【Key words】 Hamilton sequence; Extremal Beltrami coefficient; Infinitesimal Teichmiiller metric;
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics , 编辑部邮箱 ,2009年06期
- 【分类号】O316
- 【下载频次】59