Teichmüller空间的格林函数及其应用
The Green function of Teichmüller spaces with applications
摘要：
我们简要地描述了一个新的方法，一些问题有关的Teichmüller空间，不变度量，极值拟共形映射。这种方法是基于多重次调和函数，特别是多重次调和格林函数的性质。主要定理给出了Teichmüller空间的格林函数通过Kobayashi-Teichmüller度量的显式表示。这导致了各种应用。特别地，这给出了极值拟共形映射的一个新的刻画。
英文摘要：
We describe briefly a new approach to some problems related to Teichmüller spaces, invariant metrics, and extremal quasiconformal maps. This approach is based on the properties of plurisubharmonic functions, especially of the plurisubharmonic Green function. The main theorem gives an explicit representation of the Green function for Teichmüller spaces by the Kobayashi-Teichmüller metric of these spaces. This leads to various applications. In particular, this gives a new characterization of extremal quasiconformal maps.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
