Tukia, P.; Väisälä, J. A remark on 1-quasiconformal maps. (English) Zbl 0533.30019 Ann. Acad. Sci. Fenn., Ser. A I, Math. 10, 561-562 (1985). 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. Reviewer: J. Väisälä (Helsinki) Cited in 8 Documents MSC: 30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations Keywords:1-quasiconformal map PDFBibTeX XMLCite \textit{P. Tukia} and \textit{J. Väisälä}, Ann. Acad. Sci. Fenn., Ser. A I, Math. 10, 561--562 (1985; Zbl 0533.30019) Full Text: DOI