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:Mathematics]] | ||
Revision as of 18:13, March 15, 2007
Möbius transformations are conformal, bilinear functions of the form
f(z) = (az + b)/(cz + d)
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.