Geometry of the Cassinian metric and its inner metric
Ibragimov, Zair · Mohapatra, Manas Ranjan · Sahoo, Swadesh Kumar · Zhang, Xiaohui
Original · EN
The Cassinian metric and its inner metric have been studied for subdomains of the n-dimensional Euclidean space Rⁿ (n≥ 2) by the first named author. In this paper we obtain various inequalities between the Cassinian metric and other related metrics in some specific subdomains of Rⁿ. Also, a sharp distortion property of the Cassinian metric under Möbius transformations of the unit ball is obtained.
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