Integrability of Lie equations and pseudogroups

DOI10.1006/jmaa.2000.6805zbMath0973.58008OpenAlexW1982098148MaRDI QIDQ1840785

Yanyan Li

Publication date: 3 December 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6805

zbMATH Keywords

formal integrabilityCartan formnonlinear Lie equationsregular Lie pseudogroup

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Pseudogroups and differentiable groupoids (58H05)

Related Items (7)

On the finiteness of differential invariants. ⋮ Symmetries of PDE systems and correspondences between jet spaces ⋮ A transformation of PDE systems related to the drach theorem. ⋮ A remark on Goldschmidt's theorem on formal integrability ⋮ Weil bundles and jet spaces ⋮ Primary spectrum of $\mathcal{C}^\infty(M)$ and jets theory ⋮ Some Canonical Structures of Cartan Planes in Jet Spaces and Applications

Cites Work

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• Prolongation of connections to bundles of infinitely near points
• Integrability criteria for systems of nonlinear partial differential equations
• The Hamilton-Cartan formalism in the calculus of variations
• Equation de Lie. I, II
• Weil bundles and jet spaces
• Deformation theory of pseudogroup structures
• The First and Second Fundamental Theorems of Lie for Lie Pseudo Groups
• Lie Equations, Vol. I

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