Inclusion relations of hyperbolic type metric balls

Abstract

We will consider inclusion of metric balls defined by the quasihyperbolic, the $j$-metric and the chordal metric. The quasihyperbolic metric and the $j$-metric are considered in general subdomains of ${\mathbb{R}}^n$ and in some particular domains like ${\mathbb{R}}^n\setminus 0$ and the upper half-space.

23 pages, 5 figures