Variational sequences in mechanics

DOI10.1007/s005260050079zbMath0892.58001OpenAlexW1990729532MaRDI QIDQ1374881

Demeter Krupka

Publication date: 18 December 1997

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050079

zbMATH Keywords

Lagrangianscontact formsEuler-Lagrange formquotient sheaf\(r\)-th order variational sequencede Rham sequencesfirst order variational sequenceHelmholtz-Sonin formquotient mappings

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Methods involving semicontinuity and convergence; relaxation (49J45) Jets in global analysis (58A20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Exterior differential systems (Cartan theory) (58A15) Lagrange's equations (70H03)

Related Items (16)

Variational sequences, representation sequences and applications in physics ⋮ Quantum potential in covariant quantum mechanics ⋮ Existence of a variational principle for PDEs with symmetries and current conservation ⋮ Lepage Manifolds ⋮ Lepage forms, closed 2-forms and second-order ordinary differential equations ⋮ Variational submanifolds of Euclidean spaces ⋮ Unnamed Item ⋮ Contact symmetries of the Helmholtz form ⋮ The Interior Euler-Lagrange Operator in Field Theory ⋮ Variational sequences in mechanics on Grassmann fibrations ⋮ The Helmholtz Conditions and the Method of Controlled Lagrangians ⋮ The Sonin–Douglas Problem ⋮ Variational Principles for Immersed Submanifolds ⋮ First-Order Variational Sequences in Field Theory ⋮ On a global Lagrangian construction for ordinary variational equations on 2-manifolds ⋮ On a bicomplex induced by the variational sequence

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