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Liouville's Conformality Theorem


In space, the only conformal mappings are inversions, similarity transformations, and congruence transformations. Or, restated, every angle-preserving transformation is a sphere-preserving transformation.


See also

Conformal Mapping

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Cite this as:

Weisstein, Eric W. "Liouville's Conformality Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LiouvillesConformalityTheorem.html

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