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 projec...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.展开更多
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)
文摘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.