Jet Bundles as Higher-Order Polarised $k$-Contact Manifolds

Javier de Lucas

We prove that the Cartan distribution $C_{\pi }^r$ on the jet bundle $J^r\pi$, for $\pi :E\to Q$, is an $N_{\pi }^r$-contact distribution, where $N_{\pi }^r$ is the corank of $C_{\pi }^r$. In other…