Geometry of systems of differential equations. I: Formalization of the theory of Frölicher and Nijenhuis

DOI10.1007/BF00973070zbMath0487.58031OpenAlexW1513573447WikidataQ115394654 ScholiaQ115394654MaRDI QIDQ1165509

R. V. Vosylius

Publication date: 1982

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00973070

zbMATH Keywords

Lie-Bäcklund transformation\(k\)-jet extensionbendable submanifolds of a Riemannian manifoldcontravariant differential extensionsformal differential operatorsLie-Bäcklund fieldpseudogroup of transformations of the jet bundlesystem of \(k\)-th-order partial differential equations in a smooth fiber space

Mathematics Subject Classification ID

Jets in global analysis (58A20) Global submanifolds (53C40) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Partial differential equations on manifolds; differential operators (58J99) Pseudogroups and differentiable groupoids (58H05) Integral transforms, operational calculus (44A99)

Cites Work

• Invariants différentiels d'un pseudogroupe de Lie. I
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