A Complete Characterization of Pythagorean Hodograph Preserving Mappings

Amedeo Altavilla, Hans-Peter Schröcker, Zbyněk Šír +1

We fully characterize the mappings $\hat{I}¦$ that send every Pythagorean-hodograph (PH) curve to a PH curve. We prove that in any dimension, such mappings are precisely the conformal fu…