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Geometry and Topology Seminar: Mathew Kushelman, NC State, On Liouville’s Theorem for Conformal Maps
September 8, 2023 | 12:50 pm - 1:50 pm EDT
A theorem of Liouville asserts that the simplest conformal transformations on Euclidean space—translations, dilations, reflections, and inversions—generate all conformal transformations when the dimension is at least 3. I will describe a new proof of this theorem which is shorter and more elementary than the argument, due to Nevanlinna, found in most modern textbooks.