Solving local equivalence problems with the equivariant moving frame method

DOI10.3842/SIGMA.2013.029zbMath1277.58004arXiv1304.1616MaRDI QIDQ352498

Francis Valiquette

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1616

zbMATH Keywords

jet spacemoving framedifferential invariantequivalence problemMaurer Cartan form

Mathematics Subject Classification ID

Jets in global analysis (58A20) Global submanifolds (53C40) Exterior differential systems (Cartan theory) (58A15) (G)-structures (53C10)

Related Items (14)

Open problems for Painlevé equations ⋮ Equivariant moving frame method and the local equivalence of \(u _{xx } = r(x, u, v, u_{x }, v_{x })\) under fiber-preserving transformations ⋮ Normal forms, moving frames, and differential invariants for nondegenerate hypersurfaces in \(\mathbb{C}^2\) ⋮ Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models ⋮ Recursive moving frames ⋮ Symmetry Reduction of Ordinary Differential Equations Using Moving Frames ⋮ Recursive moving frames for Lie pseudo-groups ⋮ Symmetry-based algorithms for invertible mappings of polynomially nonlinear PDE to linear PDE ⋮ Global Lie-Tresse theorem ⋮ Point equivalence of second-order ODEs: maximal invariant classification order ⋮ Convergent normal form for five dimensional totally nondegenerate CR manifolds in \(\mathbb{C}^4\) ⋮ Involutive moving frames ⋮ On classification problems in the theory of differential equations: Algebra + geometry ⋮ Symmetry reduction of ordinary finite difference equations using moving frames

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