Strebel differentials and Hamilton sequences  

作　　者：李忠 

机构地区：[1]Department of Mathematics,Peking University,Beijing 100871,China

出　　处：《Science China Mathematics》2001年第8期969-979,共11页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China;the 973 Program Foundation of China.

摘　　要：Let T(S) be a Teichmüller space of a hyperbolic Riemann surface S, viewed as a set of Teichmüller equivalence classes of Beltrami differentials on S. It is shown in this paper that for any extremal Beltrami differential μ0 at a given point τ of T(S), there is a Hamilton sequence for μ0 formed by Strebel differentials in a natural way. Especially, such a kind of Hamilton sequence possesses some special properties. As applications, some results on point shift differentials are given.Let T(S) be a Teichmaller space of a hyperbolic Riemann surface S, viewed as a set of Teichmaller equivalence classes of Beltrami differentials on S. It is shown in this paper that for any ex-tremal Beltrami differential μo at a given point T of T( S), there is a Hamilton sequence forμo formed by Strebel differentials in a natural way. Especially, such a kind of Hamilton sequence possesses some special properties. As applications, some results on point shift differentials are given.

关 键 词：Teichmüller space Hamilton sequence 

分 类 号：O177[理学—数学]