Geodesic discs in Teichmüller space

Geodesic discs in Teichmüller space

Let T(S) be the Teichmüller space of a Riemann surface S. By definition, a geodesic disc in T(S) is the image of an isometric embedding of the Poincaré disc into T(S). It is shown in this paper that for any non-Strebel point τ∈ T(S), there are infinitely many geodesic discs containing [O] and τ.

作 者： LI Zhong   作者单位： LMAM & School of Mathematical Sciences, Peking University, Beijing 100871, China  刊 名： 中国科学A辑（英文版）  SCI 英文刊名： SCIENCE IN CHINA SERIES A MATHEMATICS  年，卷(期)： 2005 48(8)  分类号： P2  关键词： Teichmüller space   geodesic discs