Teichmüller空间上的唯一极值问题

Unique Extremal Question of Teichmüller Space

文献[1]中给出模非常数的唯一极值的Beltrami微分μ的存在性,文中在此基础上给出了μ非常数模时唯一极值的一些等价条件.另外,Beltrami微分μ模为常数时的一些性质也进一步得到体现.

It was shown that there exists μ such that μ has non- constant modulus and is uniquely extremal by Bozin et al. In this paper, we give some equivalence conditions of unique extremality for μ with non-constant modulus. In addition,some local properties of constant modulus Beltrami coeffcients are given.