For K-quasiregular maps of the upper half plane, the geometric-mean distance h_{H2,c} is shown to satisfy an explicit distortion bound, and h_{H2,c} is a metric for every c >= 1.
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On distortion of quasiregular mappings of the upper half plane
For K-quasiregular maps of the upper half plane, the geometric-mean distance h_{H2,c} is shown to satisfy an explicit distortion bound, and h_{H2,c} is a metric for every c >= 1.