Good Behaviour of Lie Bracket at a Superdensity Point of the Tangency Set of a Submanifold With Respect to a Rank 2 Distribution

Let H, K be a couple of vector fields class C1 in an open set U ? ?N+m, $${\cal M}$$ N-dimensional submanifold and define T}: = \left\{{z \in {\cal M}:H\left(z \right),K\left(z \right) {T_z}{\cal M}} \right\}$$ . Then the obvious property If z0 ? is interior point (relative to )of T}$$ then $$\left[{H,K} \right]\left({{z_0}} {T_{{z_0}}}{\cal admits following generalization: superdensity As corollary we get very easily result [7]: D}$$ distribution rank N on ?N+m let U. tangency $$\left\{{z M}:{T_z}{\cal M} D}\left(z \right)} involutive at z0.