From PDEs to Pfaffian fibrations
Differential Geometry
2020-10-13 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1901.02084,
title = {From PDEs to Pfaffian fibrations},
author = {Francesco Cattafi and Marius Crainic and Maria Amelia Salazar},
journal= {arXiv preprint arXiv:1901.02084},
year = {2020}
}
Comments
49 pages; v3 several sections rewritten, section 3.4 added