1.Previous
3.Next

15-parameter group in R⁴. In R² it represents only a small subset of all conformal transformations therein, whereas in R²⁺ⁿ it is identical to the group of all conformal transformations (corresponding to the Möbius transformations in higher dimensions) therein, in accordance with Liouville's theorem. Conformal transformations in R³ were often applied to what Darboux (1873) called "pentaspherical coordinates" by relating the points to homogeneous coordinates

1.Previous
3.Next