Distortion in the spherical metric under quasiconformal mappings
Abstract
This paper contains bounds for the distortion in the spherical metric, that is to say
bounds for the constant of H\ouml;lder continuity of mappings
$f : (\Rn,q) -> (\Rn, q)$ where $q$ denotes the spherical metric. The mappings
considered are $K$-quasiconformal ($K\ge 1$) and satisfy some normalizations or
restrictions. All bounds are explicit and asymptotically sharp as $K \to 1$.
2000 Mathematics Subject Classification: 30C80
Keywords: Spherical chordal metric, distorsion, quasiconformal mappings
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