For $E \to X$ a bundle of smooth manifolds, then the *jet prolongation* is the map that sends a section $\sigma$ of $E$ to its jet, hence the section of the jet bundle $j^\ast E \to X$ which is defined by all the finite partial derivatives of $\sigma$.

Last revised on January 10, 2017 at 21:26:13. See the history of this page for a list of all contributions to it.