From PDEs to Pfaffian fibrations

F. Cattafi, M.N. Crainic, M.A. Salazar Pinzon

Research output: Contribution to journalArticleAcademicpeer-review

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.
Original languageEnglish
Pages (from-to)187-250
Number of pages63
JournalJournal of the European Mathematical Society
Volume66
Issue number1/2
DOIs
Publication statusPublished - 6 Oct 2020

Keywords

  • Jet bundles
  • geometric study of PDEs
  • Spencer operators
  • dierential forms
  • distributions

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