On different geometric formulations of Lagrangian formalism

DOI10.1016/S0926-2245(99)00011-XzbMath0930.58001WikidataQ57555758 ScholiaQ57555758MaRDI QIDQ1303767

Raffaele Vitolo

Publication date: 22 September 1999

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

spectral sequenceinfinite order jet spacevariational bicomplexvariational sequencefibred manifold

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) de Rham theory in global analysis (58A12) Differential complexes (58J10)

Related Items

Lagrangians, gauge functions, and Lie groups for semigroup of second-order differential equations ⋮ The relation between the Jacobi morphism and the Hessian in gauge-natural field theories ⋮ Variational formulation of Chern--Simons theory for arbitrary Lie groups ⋮ Representation of the variational sequence by differential forms ⋮ Symmetries in finite order variational sequences

Cites Work

• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
• A geometrical version of the higher order Hamilton formalism in fibred manifolds
• A global version of the inverse problem of the calculus of variations
• Multilinear algebra. 2nd ed
• On the Existence of Global Variational Principles
• A Resolution of the Euler Operator. I
• The Lagrange complex
• Finite order variational bicomplexes
• Homology
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