A reflection principle for the hyperbolic metric and applications to geometric function theory
A reflection principle for the hyperbolic metric and applications to geometric function theory
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双曲度量的反射原理及其在几何函数理论中的应用
DOI：
10.1080/17476938708814225
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发表时间：
1987
影响因子：
0.9
通讯作者：
D. Minda
中科院分区：
文献类型：
--
作者：
D. Minda
我们建立了双曲度量的反射原理，并将其应用于几何函数理论。例如，反射原理产生了双曲度量的许多单调性属性。朗道定理的尖锐形式是这些单调性特性之一的直接结果。第二个主要应用是用相对于双曲几何的凸性来解释反射原理。
We establish a reflection principle for the hyperbolic metric which has applications to geometric function theory. For instance, the reflection principle yields a number of monotonicity properties of the hyperbolic metric. The sharp form of Landau's Theorem is an immediate consequence of one of these monotonicity properties. The second main application is an interpretation of the reflection principle in terms of convexity relative to hyperbolic geometry.