The contact mappings of a flat $(2,3,5)$-distribution

Alex D. Austin

Let $\Omega$ and ${\Omega }^{\prime }$ be open subsets of a flat $(2,3,5)$-distribution. We show that a $C^1$-smooth contact mapping $f:\Omega \to {\Omega }^{\prime }$ is a $C^{\infty }$-smooth contact mapping. Ultimately, thi…