Quasiconformal mappings of the motion group of the plane. (English. Russian original) Zbl 1294.30038
Math. Notes 93, No. 6, 932-935 (2013); translation from Mat. Zametki 93, No. 6, 947-950 (2013).
From the text: “We study quasiconformal mappings of the group \(\mathrm{SE}(2)\) of orientation-preserving motions of the Euclidean plane. Each orientation-preserving motion of the plane is the composition of the translation by a vector \((x,y)\) and the counterclockwise rotation by an angle \(\theta\); that is why \(\mathrm {SE}(2)\) is also known as the rotation-translation group. [\(\ldots\)]”
MSC:
| 30C62 | Quasiconformal mappings in the complex plane |
References:
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