Close-to-convexity of quasihyperbolic and j-metric balls
Copyright policy )Close-to-convexity of quasihyperbolic and j-metric balls
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.
12 pages, 2 figures
- University of Turku Finland
distance-ratio metric, Mathematics - Metric Geometry, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, quasihyperbolic metric, 30F45, 30C65, FOS: Mathematics, Metric Geometry (math.MG), convexity of balls, Conformal metrics (hyperbolic, Poincaré, distance functions)
distance-ratio metric, Mathematics - Metric Geometry, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, quasihyperbolic metric, 30F45, 30C65, FOS: Mathematics, Metric Geometry (math.MG), convexity of balls, Conformal metrics (hyperbolic, Poincaré, distance functions)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!