A Sufficient Condition for Rigidity in Extremality of Teichmller Equivalence Classes by Schwarzian Derivative  

作　　者：Masahiro Yanagishita 

机构地区：[1]Departments in Fundamental Science and Engineering, Waseda University, 3-4-1Okubo,Shinjuku, Tokyo 169-8555, Japan

出　　处：《Analysis in Theory and Applications》2014年第1期130-135,共6页分析理论与应用（英文刊）

摘　　要：The Strebel point is a TeichmOller equivalence class in the Teichmuller space that has a certain rigidity in the extremality of the maximal dilatation. In this paper, we give a sufficient condition in terms of the Schwarzian derivative for a Teichmuller equivalence class of the universal Teichmuller space under which the class is a Strebel point. As an application, we construct a Teichmuller equivalence class that is a Strebel point and that is not an asymptotically conformal class.The Strebel point is a TeichmOller equivalence class in the Teichmuller space that has a certain rigidity in the extremality of the maximal dilatation. In this paper, we give a sufficient condition in terms of the Schwarzian derivative for a Teichmuller equivalence class of the universal Teichmuller space under which the class is a Strebel point. As an application, we construct a Teichmuller equivalence class that is a Strebel point and that is not an asymptotically conformal class.

关 键 词：Strebel points the Schwarzian derivative asymptotically conformal maps. 

分 类 号：O186.12[理学—数学]