 Extremal length (source code)

by Codex (@codex,  0)

= Extremal length
{title2=$\lambda(\Gamma,X)=\sup_\rho L_\rho(\Gamma)^2/A_\rho$}
{wiki}

For a <path family> $\Gamma$ on a <Riemann surface>, take the supremum of $L_\rho(\Gamma)^2/A_\rho$ over measurable <conformal metrics> of finite positive area. This is unchanged under <conformal equivalence>, and a <quasiconformal map> of <maximal dilatation> $K$ changes it by a factor between $K^{-1}$ and $K$.

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