| 张思汇,陈纪修.极值Beltrami系数的Hamilton序列[J].数学年刊A辑,2009,30(6):765~770 |
| 极值Beltrami系数的Hamilton序列 |
| On Hamilton Sequences for Extremal Beltrami Coefficients |
| Received:April 16, 2009 |
| DOI： |
| 中文关键词: Hamilton序列, 极值Beltrami系数, 无限小Teichmüller度量 |
| 英文关键词:Hamilton sequence, Extremal Beltrami coefficient,Infinitesimal Teichmüller metric |
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| 中文摘要: |
| 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 Teichmüller spaces, Trans. Amer. Math. Soc., 1984, 282(1):367--383]). 在无限小Teichmüller空间中, 证明了范金华在 [On infinitesimal Teichmüller space, Bull. Austral. Math. Soc., 2008, 78:293--300]中得到的使{φn}成为Hamilton序列的充分条件不是必要的. |
| 英文摘要: |
| 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 Teichmüller spaces, Trans. Amer. Math. Soc., 1984, 282(1):367--383]. The authors prove that in the case of infinitesimal Teichmüller space, the sufficient condition for {φn} to be a Hamilton sequence obtained by Fan in [On infinitesimal Teichmüller space, Bull. Austral. Math. Soc., 2008, 78:293--300] is not necessary. |
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