Inclusion relations of hyperbolic type metric balls

Details Inclusion relations of hyperbolic type metric balls Inclusion relations of hyperbolic type metric balls

2010-05-21

arxiv.org/abs/1005.3927v2

Mathematics

Metric Geometry

23 pages, 5 figures

Scientific paper

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.

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