论文标题
引入一个新的内在度量
Introducing a new intrinsic metric
论文作者
论文摘要
引入了一个新的固有指标，称为$ t $ metric。对于各个域$ g \ subsetneq \ mathbb {r}^n $，该度量与最常见的双曲线类型指标之间的几种急剧不平等已被证明。还在几个示例中研究了新指标的行为，并通过图形和分析方法比较了所有考虑的指标的球之间的球之间的差异。
A new intrinsic metric called $t$-metric is introduced. Several sharp inequalities between this metric and the most common hyperbolic type metrics are proven for various domains $G\subsetneq\mathbb{R}^n$. The behaviour of the new metric is also studied under a few examples of conformal and quasiconformal mappings, and the differences between the balls drawn with all the metrics considered are compared by both graphical and analytical means.
