The structure of the Euler-Lagrange mapping

DOI10.3103/S1066369X07120043zbMath1298.70023MaRDI QIDQ462556

Demeter Krupka

Publication date: 21 October 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (5)

Representation of the variational sequence by differential forms. ⋮ On generalized invariant transformations ⋮ A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ Trivial Lagrangians in field theory

Cites Work

• Hamiltonian field theory
• The total divergence equation
• A global version of the inverse problem of the calculus of variations
• A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections
• A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance
• Trivial Lagrangians in field theory
• The geometry of ordinary variational equations
• The Hamilton-Cartan formalism in the calculus of variations
• Representation of the variational sequence by differential forms
• Higher Euler operators and some of their applications
• Variational principles for locally variational forms
• On the Existence of Global Variational Principles
• Finite order variational bicomplexes
• On the Helmholtz operator for Euler morphisms
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