From PDEs to Pfaffian fibrations
Publication date
2020-10-06
Authors
Cattafi, F.
Crainic, Marius
Salazar Pinzon, M.A.
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Document Type
Article
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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.
Keywords
Jet bundles, geometric study of PDEs, Spencer operators, dierential forms, distributions, Taverne
Citation
Cattafi, F, Crainic, M N & Salazar Pinzon, M A 2020, 'From PDEs to Pfaffian fibrations', Journal of the European Mathematical Society, vol. 66, no. 1/2, pp. 187-250. https://doi.org/10.4171/LEM/66-1/2-10