Global shift operators and the higher order calculus of variations

DOI10.1016/0393-0440(93)90028-DzbMath0781.58001MaRDI QIDQ1802936

David E. Betounes

Publication date: 29 June 1993

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Euler operatoromega operatorCartan formsCartan operatorsexistence of global shift operatorsglobal shift operatorshigher order calculus of variationshigher order variational theory

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Connections (general theory) (53C05) Variational principles of physics (49S05)

Related Items (1)

Lepage equivalents and the variational bicomplex

Cites Work

• A geometrical version of the higher order Hamilton formalism in fibred manifolds
• Poincaré-Cartan forms in higher order variational calculus on fibred manifolds
• Differential geometric aspects of the Cartan form: Symmetry theory
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