Local convexity properties of balls in Apollonian and Seittenranta’s metrics

DOI10.1090/S1088-4173-2013-00257-9zbMath1317.30028arXiv1204.0329OpenAlexW2031883492MaRDI QIDQ5248043

Riku Klén

Publication date: 27 April 2015

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0329

zbMATH Keywords

metric ballApollonian distanceSeittenranta's distance

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (4)

Local convexity of metric balls ⋮ Hyperbolic type distances in starlike domains ⋮ Growth of some hyperbolic type distances and starlikeness of metric balls ⋮ The visual angle metric and Möbius transformations

Cites Work

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• Local Convexity Properties of j-metric Balls

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