We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show how prolongations, integrability and linearisations of PDEs generalise to this setting.
Cite this article
Francesco Cattafi, Marius Crainic, Maria Amelia Salazar, From PDEs to Pfaffian fibrations. Enseign. Math. 66 (2020), no. 1/2, pp. 187–250DOI 10.4171/LEM/66-1/2-10