论文标题
Gromov双曲线指标和Möbius变换
A Gromov Hyperbolic metric and Möbius transformations
论文作者
论文摘要
我们将Gromov双曲线度量与单位球或上半部空间中的双曲线度量进行了比较，并证明了Gromov双曲线度量与某些双曲线类型指标之间的急剧比较。在某些Möbius转化家族中，我们还为Gromov双曲线度量获得了几种急剧失真的不平等。
We compare a Gromov hyperbolic metric with the hyperbolic metric in the unit ball or in the upper half space, and prove sharp comparison inequalities between the Gromov hyperbolic metric and some hyperbolic type metrics. We also obtain several sharp distortion inequalities for the Gromov hyperbolic metric under some families of Möbius transformations.
