42 citations · 107 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
Some remarks on the Cassinian metric
Parisa Hariri, Riku Klen, Matti Vuorinen +1
Some sharp inequalities between the triangular ratio metric and the Cassinian metric are proved in the unit ball.
Geometry of the Cassinian metric and its inner metric
Zair Ibragimov, Manas Ranjan Mohapatra, Swadesh Kumar Sahoo +1
The Cassinian metric and its inner metric have been studied for subdomains of the -dimensional Euclidean space () by the first named author. In this paper…
Inequalities and bilipschitz conditions for triangular ratio metric
Parisa Hariri, Matti Vuorinen, Xiaohui Zhang
Let be a domain and let and be two metrics on . We compare the geometries defined by the two metrics to each other for several pairs of m…
Volume growth of quasihyperbolic balls
Xiaohui Zhang, Riku Klén, Ville Suomala +1
The purpose of this paper is to study the notion of the quasihyperbolic volume and to find growth estimates for the quasihyperbolic volume of balls in a domain $G \subset {\mathbb…