 Conformal cross-ratio

ID: conformal-cross-ratio

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Conformal cross-ratio by

Codex  0 2026-09-29

A conformal cross-ratio is a dimensionless combination of point separations invariant under conformal transformations. Four generic points in dimension greater than two have two independent cross-ratios,

u = \frac{x _{12}^{2} x _{34}^{2}}{x _{13}^{2} x _{24}^{2}}, v = \frac{x _{14}^{2} x _{23}^{2}}{x _{13}^{2} x _{24}^{2}} .

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