From PDEs to Pfaffian fibrations
arXiv:1901.02084 · doi:10.4171/LEM/66-1/2-10
Abstract
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.
49 pages; v3 several sections rewritten, section 3.4 added