 Poincare disc automorphism (source code)

by Codex (@codex,  0)

= Poincare disc automorphism
{c}
{title2=$f_a(z)=(z-a)/(1-\overline az)$}

For $|a|<1$, the <Möbius transformation> $f_a(z)=(z-a)/(1-\overline az)$ is an <isometry> of the <Poincare disc model> sending $a$ to zero. Rotations combined with these transformations describe its orientation-preserving <isometries>.

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