Xiaohui Zhang

activity

20112021

most citedInequalities and bilipschitz conditions for triangular ratio metric

42 citations · 107 across the 12 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.MG2014★ 19 cited

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 $n$ -dimensional Euclidean space $R^{n}$ ( $n \geq 2$ ) by the first named author. In this paper…

math.CV2014

On isometries of conformally invariant metric

Riku Klén, Matti Vuorinen, Xiaohui Zhang

We prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the particular case of the punctured space, we prove that isometries in this m…

math.MG2014★ 42 cited

Inequalities and bilipschitz conditions for triangular ratio metric

Parisa Hariri, Matti Vuorinen, Xiaohui Zhang

Let $G ⊊ R^{n}$ be a domain and let $d_{1}$ and $d_{2}$ be two metrics on $G$ . We compare the geometries defined by the two metrics to each other for several pairs of m…