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The Harmonic Mapping Whose Hopf Differential Is a Constant
Mathematics ( IF 2.3 ) Pub Date : 2020-08-07 , DOI: 10.3390/math8081310 Liang Shen
Mathematics ( IF 2.3 ) Pub Date : 2020-08-07 , DOI: 10.3390/math8081310 Liang Shen
Suppose that is a harmonic mapping from the unit disk to itself with respect to the hyperbolic metric. If the Hopf differential of is a constant , the Beltrami coefficient of is radially symmetric and takes the maximum at . Furthermore, the mapping is increasing and gives a homeomorphism from to .
中文翻译:
Hopf微分为常数的调和映射
假设 是来自单元盘的谐波映射 相对于双曲度量而言。如果霍普夫差 是一个常数 ,Beltrami系数 的 是径向对称的,并在 。此外,映射 不断增加,并从 至 。
更新日期:2020-08-08
中文翻译:
Hopf微分为常数的调和映射
假设