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arxiv: 1411.4381 · v2 · pith:QXOP2EZWnew · submitted 2014-11-17 · 🧮 math.CV

On isometries of conformally invariant metric

classification 🧮 math.CV
keywords isometriesmetriccaseconformallyinvariantparticularproveconjecture
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We prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the particular case of the punctured space, we prove that isometries in this metric are Mobius, thus resolving a conjecture of Ferrand, Martin and Vuorinen [FMV, p. 200] in this particular case.

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