Write a Mobius transformation \(f(z) = {az+b\over cz + d}\) as a cross-ratio.
Solution
\[ T(z) = \qty{ z; {d-b\over a-c}, -{b\over a}, -{d\over c}} .\]
Mobius transformations as cross-ratios
E-JPAJE
- Area
- Complex Analysis
- Topics
- Conformal Maps, Fractional Linear Transformations
- Status
- draft