Close-to-convexity of quasihyperbolic and $j$-metric balls

Details Close-to-convexity of quasihyperbolic and $j$-metric balls Close-to-convexity of quasihyperbolic and $j$-metric balls

2010-01-22

arxiv.org/abs/1001.3923v1

Ann. Acad. Sci. Fenn. Math. 25 (2010), 493-501

Mathematics

Metric Geometry

12 pages, 2 figures

Scientific paper

10.5186/aasfm.2010.3530

We will consider close-to-convexity of the metric balls defined by the
quasihyperbolic metric and the $j$-metric. We will show that the $j$-metric
balls with small radii are close-to-convex in general subdomains of $\Rn$ and
the quasihyperbolic balls with small radii are close-to-convex in the punctured
space.

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