论文标题
广义的Hurwitz公制
A generalized Hurwitz metric
论文作者
论文摘要
2016年，D。Minda在复杂平面的任意适当子域中引入了Hurwitz指标，他证明，当域仅连接到域时，该度量与Poincaré的双曲线指标相吻合。在本文中，我们提供了Hurwitz度量的替代定义，通过该定义可以通过该指标定义一个广义的Hurwitz指标，以在复杂平面的任意子域中定义。本文主要强调了Hurwitz公制的各种重要特性和广义度量，包括它们相互重合的情况。
In 2016, the Hurwitz metric was introduced by D. Minda in arbitrary proper subdomains of the complex plane and he proved that this metric coincides with the Poincaré's hyperbolic metric when the domains are simply connected. In this paper, we provide an alternate definition of the Hurwitz metric through which we could define a generalized Hurwitz metric in arbitrary subdomains of the complex plane. This paper mainly highlights various important properties of the Hurwitz metric and the generalized metric including the situations where they coincide with each other.
