Teichmüller spaces for pointed Fuchsian groups  

作　　者：SUN MingFeng & SHEN YuLiang Department of Mathematics,Soochow University,Suzhou 215006,China 

出　　处：《Science China Mathematics》2010年第8期2031-2038,共8页中国科学：数学（英文版）

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

摘　　要：Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the projection from the space M(G) of Beltrami coefficients for G to T(G) and of that from T(G) to T(G) as well.We will also study the biholomorphic isomorphisms between two pointed Teichmüller spaces.Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the projection from the space M(G) of Beltrami coefficients for G to T(G) and of that from T(G) to T(G) as well.We will also study the biholomorphic isomorphisms between two pointed Teichmüller spaces.

关 键 词：Fuchsian GROUP pointed Fuchsian GROUP TEICHMÜLLER SPACE HOLOMORPHIC SECTION 

分 类 号：O174.52[理学—数学]