极值Beltrami系数的Hamilton序列

On Hamilton Sequences for Extremal Beltrami Coefficients

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 Teichmller spaces,Trans.Amer.Math.Soc.,1984,282(1):367-383]).在无限小Teichmller空间中,证明了范金华在[On infinitesimal Teichmllerspace,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.

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 Teichmǔller spaces, Trans. Amer. Math. Soc., 1984, 282（1）：367-383]. The authors prove that in the case of infinitesimal Teichmǔller space, the sufficient condition for {φn} to be a Hamilton sequence obtained by Fan in [On infinitesimal Teichmǔller space, Bull. Austral.Math. Soc., 2008, 78：293-300] is not necessary.