Convex bodies of constant width and the Apollonian metric

zbMath1160.52003MaRDI QIDQ957530

Marina Borovikova, Zair Ibragimov

Publication date: 27 November 2008

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55334

zbMATH Keywords

Möbius transformationsApollonian metricconvex bodies of a constant widthpseudogeodesic lines

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Conformality of the Apollonian metric ⋮ Complete sets in normed linear spaces ⋮ Geometry of the Cassinian metric and its inner metric ⋮ Equivalence of the Apollonian and its inner metric ⋮ The Apollonian inner metric and uniform domains ⋮ A Gromov hyperbolic metric vs the hyperbolic and other related metrics

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