JournalslemVol. 66, No. 1/2pp. 187–250

From PDEs to Pfaffian fibrations

  • Francesco Cattafi

    Katholieke Universiteit Leuven, Belgium

  • Marius Crainic

    University of Utrecht, Netherlands

  • Maria Amelia Salazar

    Universidade Federal Fluminense, Niterói, Brazil
From PDEs to Pfaffian fibrations cover

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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 this article

Francesco Cattafi, Marius Crainic, Maria Amelia Salazar, From PDEs to Pfaffian fibrations. Enseign. Math. 66 (2020), no. 1/2, pp. 187–250

DOI 10.4171/LEM/66-1/2-10