极值Beltrami系数的Hamilton序列  

On Hamilton Sequences for Extremal Beltrami Coefficients

作　　者：张思汇[1] 陈纪修[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《数学年刊（A辑）》2009年第6期765-770,共6页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No10871047)资助的项目

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 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.

关 键 词：HAMILTON序列 极值Beltrami系数 无限小Teichmller度量 

分 类 号：O316[理学—一般力学与力学基础]