Addenda and corrections to work done on the path-integral approach to classical mechanics - art. no. 067702

We continue the study of the path-integral approach to classical mechanics and in particular we correct and better clarify, with respect to previous p apers, the geometrical meaning of the variables entering this formulation. We show that the space spanned by the whole set of variables (phi, c, lambd a, (c) over bar) of our path integral is the cotangent bundle to the revers ed-parity tangent bundle of the phase space M of our system and it is indic ated as T-star(Pi TM). We also show that it is possible to build a differen t path integral made only of bosonic variables. These turn out to be the co ordinates of T-star((TM)-M-star) which is the double cotangent bundle to ph ase space.