On symmetries and cohomological invariants of equations possessing flat representations

DOI10.1016/S0926-2245(03)00049-4zbMath1029.37050arXivmath/0301344OpenAlexW2742719400WikidataQ115338003 ScholiaQ115338003MaRDI QIDQ1417343

D. Massart

Publication date: 4 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0301344

zbMATH Keywords

Self-dual Yang-Mills equationsSymmetriesNijenhuis bracketDifferential complexesFlat connectionsZero-curvature representations

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Differential complexes (58J10) Connections (general theory) (53C05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (7)

On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications ⋮ The quasigeostrophic two-layer model: Lax representations and conservation laws ⋮ A Lax representation of the Charney-Obukhov equation for the ocean ⋮ Cartan's structure of symmetry pseudo-group and coverings for the \(r\)-th modified dispersionless Kadomtsev-Petviashvili equation ⋮ Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation ⋮ Non-Abelian Lie algebroids over jet spaces ⋮ Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation

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• Classification of local generalized symmetries for the vacuum Einstein equations
• SELF-DUAL YANG–MILLS: SYMMETRIES AND MODULI SPACE
• Horizontal cohomology with coefficients and non-linear zero-curvature representations

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