Normal forms of germs of smooth distributions (Q806115)

Denote by \(W^ k_ n\) the set of germs of a k-dimensional distribution in a fixed point of \({\mathbb{R}}^ n\). All objects are supposed to be of class \(C^{\infty}\). The author presents the formal normal form of germs from \(W^ k_ n\) for all possible pairs (k,n) and shows that the normal form is invariant in asymptotic sense.