From PDEs to Pfaffian fibrations

DOI10.4171/LEM/66-1/2-10zbMath1468.58001arXiv1901.02084OpenAlexW3092464198WikidataQ114021446 ScholiaQ114021446MaRDI QIDQ2032795

Francesco Cattafi, Marius Crainic, María Amelia Salazar

Publication date: 14 June 2021

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02084

zbMATH Keywords

distributionsdifferential formsjet bundlesexterior differential systemsSpencer cohomologygeometric study of PDEs

Mathematics Subject Classification ID

Jets in global analysis (58A20) Differential forms in global analysis (58A10) Exterior differential systems (Cartan theory) (58A15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (1)

Cartan geometries and multiplicative forms

Cites Work

• The role of the Jacobi identity in solving the Maurer-Cartan structure equation
• Jacobi structures and Spencer operators
• An example of a smooth linear partial differential equation without solution
• On the non-linear cohomology of Lie equations. II
• On the non-linear cohomology of Lie equations. I
• Multiplicative forms and Spencer operators
• Existence theorems for analytic linear partial differential equations
• Du prolongement des espaces fibrés et des structures infinitésimales
• Integrability criteria for systems of nonlinear partial differential equations
• Nonabelian Spencer cohomology and deformation theory
• Prolongations of linear partial differential equations. I. A conjecture of Élie Cartan
• Overdetermined systems of linear partial differential equations
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