Difference between revisions of "Möbius transformation"
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where a, b, c, d are real numbers, and ''ad'' − ''bc'' ≠ 0. It is an automorphism of the [[Riemann Sphere]], and the set of all Möbius transformations on the Riemann sphere forms the automorphism group. | where a, b, c, d are real numbers, and ''ad'' − ''bc'' ≠ 0. It is an automorphism of the [[Riemann Sphere]], and the set of all Möbius transformations on the Riemann sphere forms the automorphism group. | ||
| − | [[Category:Complex | + | [[Category:Complex Analysis]] |
Latest revision as of 01:02, August 14, 2018
Möbius transformations are conformal, bilinear functions of the form
where a, b, c, d are real numbers, and ad − bc ≠ 0. It is an automorphism of the Riemann Sphere, and the set of all Möbius transformations on the Riemann sphere forms the automorphism group.