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It is well-known that the conformal structure of a relativistic spacetime is of profound physical and conceptual interest. In this note, we consider the analogous structure for Newtonian theories. We show that the Newtonian Weyl tensor is an invariant of this structure.doi:10.1007/s10701-020-00386-w fatcat:o56i65znhre7tb3qpqqrz364hu