COHOMOLOGY OF LAGRANGE COMPLEXES INVARIANT UNDER PSEUDOGROUPS OF LOCAL TRANSFORMATIONS

DOI10.1142/S0219887807002223zbMath1153.70009MaRDI QIDQ3502964

Andrea F. Spiro

Publication date: 20 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

inverse problemEuler-Lagrange equationsconfiguration space

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Inverse problems for systems of particles (70F17) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

On the Pontryagin Maximum Principle under differential constraints of higher order ⋮ Lie algebras of conservation laws of variational partial differential equations ⋮ Control problems with differential constraints of higher order ⋮ Lie algebras of conservation laws of variational ordinary differential equations

Cites Work

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• Variational principles for differential equations with symmetries and conservation laws. I: Second order scalar equations
• The cohomology of invariant variational bicomplexes
• On the Existence of Global Variational Principles
• Symmetry reduction of variational bicomplexes and the principle of symmetric criticality

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