9 citations · 32 across the 18 of their papers we have counts for
9 papers · 1 filter
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…
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…
On cyclic quadrilaterals in euclidean and hyperbolic geometries
Gendi Wang, Matti Vuorinen, Xiaohui Zhang
Four points ordered in the positive order on the unit circle determine the vertices of a quadrilateral, which is considered either as a euclidean or as a hyperbolic quadrilateral d…
The visual angle metric and quasiregular maps
Gendi Wang, Matti Vuorinen
The distortion of distances between points under maps is studied. We first prove a Schwarz-type lemma for quasiregular maps of the unit disk involving the visual angle metric. Then…
Some remarks on the visual angle metric
Parisa Hariri, Matti Vuorinen, Gendi Wang
We show that the visual angle metric and the triangular ratio metric are comparable in convex domains. We also find the extremal points for the visual angle metric in the half spac…
The adjacent sides of hyperbolic Lambert quadrilaterals
Gendi Wang
We prove sharp bounds for the product and the sum of the hyperbolic lengths of a pair of hyperbolic adjacent sides of hyperbolic Lambert quadrilaterals in the unit disk. We also sh…