Difference between revisions of "Möbius transformation"
Jump to navigation
Jump to search
| Line 4: | Line 4: | ||
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: | + | [[Category:complex analysis]] |
Revision as of 05:32, April 15, 2007
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.