Linked from

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

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

• 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.

• 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.

• 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.