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A remark on 1-quasiconformal maps. (English) Zbl 0533.30019

We give a new and simple proof of the following result: Every 1-quasiconformal map \(f: \mathbb R^ n\to \mathbb R^ n\) is a similarity.

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
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