Classification of germs of regular distributions with minimal growth vector (Q1814356)

The results of this note are related to the classification of germs of regular \(n_ 1\)-dimensional distributions (\(n_ 1>1\)) in \(\mathbb{R}^ n\) with a minimal growth vector (\(n_ 1,n_ 1+1,\ldots,n\)). In this context the author considers the existence of functional moduli, the stable normal forms and the jet asymptotic dimension of the set of orbits [cf. also \textit{A. M. Vershik} and \textit{V. Ya. Gershkovich}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 172, 21-40 (1989; Zbl 0705.58004) and Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. Fundam. Napravlenija 16, 5-85 (1987)].