深圳大学学报（理工版）2005，Vol.22Issue(3)：236-239,4.
Teichmüller映射与调和映射
Teichmüller mappings and harmonic maps
摘要
Abstract
The relationship between the Teichmüller mapping dilatation and the harmonic map total energy was considered, where the two maps were in the same homotopic class of maps between two compact Riemann surfaces of genus g(＞1) . As an application of this, the relationship between the Teichmüller metric in Tg and the norm in the space QD(σ) of holomorphic quadratic differentials on (M,σ|dz|2) is obtained.关键词
Teichmüller映射/极大伸缩商/调和映射/Teichmüller度量/全纯二次微分Key words
Teichmüller mapping/maximal dilatation/harmonic maps/Teichmüller metric/holomorphic quadratic differentials分类
数理科学引用本文复制引用
郭辉,崔泽建..Teichmüller映射与调和映射[J].深圳大学学报（理工版）,2005,22(3):236-239,4.基金项目
国家自然科学基金资助项目(10371078) （10371078）
广东省自然科学基金资助项目(04009797) （04009797）
深圳市科技计划项目(200409) （200409）
