@article{kushelman_mcgrath_2024, title={On Liouville's Theorem for Conformal Maps}, ISSN={["1930-0972"]}, DOI={10.1080/00029890.2024.2344409}, abstractNote={A theorem of Liouville asserts that the simplest angle-preserving transformations on Euclidean space—translations, dilations, reflections, and inversions—generate all angle-preserving transformations when the dimension is at least 3. This note gives a proof which uses only elementary multivariable calculus and simplifies a differential-geometric argument of Flanders.}, journal={AMERICAN MATHEMATICAL MONTHLY}, author={Kushelman, Mathew and Mcgrath, Peter}, year={2024}, month={May} }