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math.MG2023
Lipschitz constants for a hyperbolic type metric under Möbius transformations
Yinping Wu, Gendi Wang, Gaili Jia +1
Let be a nonempty open set in a metric space with . Define \begin{equation*} h_{D,c}(x,y)=\log\left(1+c\frac{d(x,y)}{\sqrt{d_D(x)d_D(y)}}\righ…
math.MG2023
A new metric associated with the domain boundary
Xingchen Song, Gendi Wang
In this paper, we introduce a new metric which is associated with the domain boundary for a Ptolemy space . Moreover, we study the inclusion relation of the $\ti…