Xiaohui Zhang

collaborators

2 papers

math.MG2025

Geometric properties of a new hyperbolic type metric

Xinyu Chen, Xiaohui Zhang

We introduce a new distance function $\tilde{S}_{G,c}$ in a metric space $(X,d)$, defined by \[ \tilde{S}_{G,c}(x,y)=\log\left(1+\frac{c\,d(x,y)}{\sqrt{1+d(x,G)}\sqrt{1+d(y,G)}…

math.MG2023

Lipschitz constants for a hyperbolic type metric under Möbius transformations

Yinping Wu, Gendi Wang, Gaili Jia +1

Let $D$ be a nonempty open set in a metric space $(X, d)$ with $\partial D \neq = \emptyset$ . Define \begin{equation*} h_{D,c}(x,y)=\log\left(1+c\frac{d(x,y)}{\sqrt{d_D(x)d_D(y)}}\righ…