Close-to-convexity of quasihyperbolic and j-metric balls
classification
🧮 math.MG
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metricballsquasihyperbolicclose-to-convexclose-to-convexityradiismallwill
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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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