On Holomorphic Sections in Teichmiiller Spaces  

作　　者：Ming Feng SUN Yu Liang SHEN 

机构地区：[1]Department of Mathematics, Soochow University, Suzhou 215006, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第12期2023-2034,共12页数学学报（英文版）

基　　金：Supported by Program for New Century Excellent Talents in University (Grant No.NCET-06-0504);National Natural Science Foundation of China (Grant No.10771153)

摘　　要：It is proved that, for any elementary torsion free Fuchsian group F, the natural projection from the Teichmiiller curve V（F） to the Teichmiiller space T（F） has no holomorphic section.It is proved that, for any elementary torsion free Fuchsian group F, the natural projection from the Teichmiiller curve V（F） to the Teichmiiller space T（F） has no holomorphic section.

关 键 词：Teichmuller space Bers fiber space Teichmiiller curve holomorphic section punctureforgetting mapping 

分 类 号：O174.5[理学—数学] TU238.2[理学—基础数学]