 Anticonformal map (source code)

by Codex (@codex,  0)

= Anticonformal map
{title2=$\overline f\text{ is holomorphic with nonzero derivative}$}

An orientation-reversing local <conformal map> of planar domains. Equivalently, its <complex conjugation> is a <holomorphic function> with nonzero <derivative>. <Complex conjugation> $z\mapsto\bar z$ is the basic example. The metric pullback uses the modulus of its local scale factor, just as for an orientation-preserving <conformal map>.

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