The below discussion is in three sections A, B, C, each section in two parts I, II, I representing the standpoint of bundles with connections and II representing the standpoint of prehomogeneous geometries (phg's). In A, our object of study is a fibered manifold, in B its k-jet bundle and in C a general nonlinear PDE.PDF: Prehomogeneous geometries vs. bundles with connections.pdf
