On the Helmholtz operator for Euler morphisms

DOI10.1017/S0305004103006649zbMath1048.58012OpenAlexW2080291988WikidataQ57555728 ScholiaQ57555728MaRDI QIDQ4461540

Raffaele Vitolo

Publication date: 18 May 2004

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004103006649

zbMATH Keywords

variational calculusHelmholtz operatornatural operator

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20)

Related Items (8)

Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles ⋮ Quantum potential in covariant quantum mechanics ⋮ The structure of the Euler-Lagrange mapping ⋮ The relation between the Jacobi morphism and the Hessian in gauge-natural field theories ⋮ The Hessian and Jacobi morphisms for higher order calculus of variations ⋮ Covariant gauge-natural conservation laws ⋮ Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex, and the Helmholtz-Sonin conditions ⋮ CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES

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