A contravariant theory of differential prolongation in models of spaces with connection

DOI10.1007/BF02105212zbMath0559.58029MaRDI QIDQ2266276

R. V. Vosylius

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

formal structureLie differential equation

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Differential forms in global analysis (58A10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Pseudogroups and differentiable groupoids (58H05) Connections (general theory) (53C05)

Cites Work

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• An example of a smooth linear partial differential equation without solution
• Invariants différentiels d'un pseudogroupe de Lie. I
• 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
• The Lewy counterexample and the local equivalence problem for G- structures
• Equation de Lie. I, II
• Lie Equations, Vol. I

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