Differential form methods in the theory of variational systems and Lagrangian field theories

zbMath0664.49018MaRDI QIDQ1114922

Robert Hermann

Publication date: 1988

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Maxwell equationsYang-Mills theoryPoincaré-Cartan formstring theories in Riemannian manifolds

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Applications of quantum theory to specific physical systems (81V99) Electromagnetic theory (general) (78A25) Exterior differential systems (Cartan theory) (58A15) Manifolds and measure-geometric topics (49Q99)

Related Items (6)

Geometrical and topological methods in optimal control theory ⋮ On the Lagrange variational problem ⋮ The principle of virtual work and Hamilton's principle on Galilean manifolds ⋮ The Poincaré-Cartan forms of one-dimensional variational integrals ⋮ The symmetry reduction of variational integrals, complement ⋮ The symmetry reduction of variational integrals

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