Geodesic discs in Teichmiiller space

作     者：LI Zhong 

作者机构：LMAM & School of Mathematical Sciences Peking University Beijing 100871 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2005年第48卷第8期

页      面：1075-1082页

核心收录：

学科分类：07[理学] 08[工学] 

基　　金：supported by the 973-Project Foundation(Grant No.TG199075105) the Research Fund for Doctoral Program of Higher Education, 

主　　题：Teichmiiller space geodesic discs 

摘      要：Let T(S) be the Teichmuller space of a Riemann surface S. By definition, a geodesic disc in T(S) is the image of an isometric embedding of the Poincare disc into T(S). It is shown in this paper that for any non-Strebel point τ ∈ T(S), there are infinitely many aeodesic discs containina [0] and τ.