Linked from

The 15 pages that link to Möbius transformation, each with the reason it gives.

• Conformal mapBroader topic: These transformations are the basic global conformal automorphisms of the Riemann sphere.

• Cross-ratioRelated: Projective transformations of a line take this fractional-linear form and preserve cross-ratios.

• Legendre transformCompared with: It is a variable transformation in complex analysis, not a derivative-based transform of functions.

• Riemann sphereRelated: These transformations act naturally on the sphere, including at infinity.

• Stereographic projectionRelated: Stereographic coordinates make rotations and other sphere symmetries expressible as Möbius transformations.

• August Ferdinand MöbiusBroader topic: These transformations are also called Möbius transformations, though the name covers a distinct mathematical legacy.

• Schwarz–Christoffel mappingRelated: It changes between disk and half-plane domains without altering conformal structure.

• Lefschetz fixed-point theoremRelated: Its fixed points can be studied through the induced action on the sphere's homology.

• Circle packing theoremRelated: Such transformations preserve circle tangencies and account for packing non-uniqueness.

• Inversive geometryNarrower topic: Inversions belong to the broader family of transformations that preserve angles and generalized circles.

• Clifford's circle theoremsRelated: It preserves generalized-circle incidences and can simplify configurations before applying the theorems.

• Ping-pong lemmaRelated: Their dynamics on disjoint regions provide a standard geometric setting for ping-pong arguments.

• Soddy's hexletRelated: Möbius transformations preserve sphere tangencies and can simplify sphere configurations.

• Caroline SeriesNarrower topic: These transformations form the ambient group from which Kleinian groups are drawn.

• Dieudonné's theoremCompared with: These familiar projective-line symmetries illustrate why dimension one requires separate treatment.