The h-principle for maps transverse tobracket-generating distributions

Given a smooth bracket-generating distribution D of constant growth on a manifold M, we prove that maps from an arbitrary manifold to M, which are transverse to D, satisfy the complete h-principle.This partially settles a question posed by M. Gromov (1986).Theorem.Given a bracket-generating distribution D on a manifold M, maps M transverse to D satisfy the h-principle.