The Apollonian Metric of a Domain in ℝ n

A. F. Beardon ()
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A. F. Beardon: University of Cambridge, Department of Pure Mathematics and Mathematical Statistics

A chapter in Quasiconformal Mappings and Analysis, 1998, pp 91-108 from Springer

Abstract: Abstract This paper introduces a new Möbius invariant metric α D , which we call the Apollonian metric, of a domain D with the following desirable properties:

Keywords: Connected Domain; Plane Domain; Riemann Sphere; Spherical Radius; Ring Domain (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0605-7_8

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DOI: 10.1007/978-1-4612-0605-7_8

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