Moving frames

DOI10.1016/S0747-7171(03)00092-0zbMath1076.53017OpenAlexW2914333395MaRDI QIDQ1878485

Peter J. Olver

Publication date: 20 August 2004

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(03)00092-0

zbMATH Keywords

symmetrysignatureLie groupjetsyzygymoving framedifferential invariant

Mathematics Subject Classification ID

Local submanifolds (53B25) Differential invariants (local theory), geometric objects (53A55)

Related Items (8)

Equi-affine differential invariants for invariant feature point detection ⋮ Comparison of some Lie-symmetry-based integrators ⋮ Structure of Lie point and variational symmetry algebras for a class of odes ⋮ On the cohomology of the invariant Euler--Lagrange complex ⋮ Inverse problem on conservation laws ⋮ On computing joint invariants of vector fields ⋮ Invariant signatures of closed planar curves ⋮ Moving frames for Lie symmetries reduction of nonholonomic systems

Cites Work

• The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Invariants différentiels d'un pseudogroupe de Lie. II
• Higher order contact of submanifolds of homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Affine geometry, curve flows, and invariant numerical approximations
• Moving coframes. I: A practical algorithm
• Polygon recognition and symmetry detection
• Symmetries of polynomials
• Moving frames and singularities of prolonged group actions
• Invariant Euler--Lagrange equations and the invariant variational bicomplex
• Differential invariants for parametrized projective surfaces
• Exterior differential systems and the calculus of variations
• Numerically invariant signature curves
• Moving Frames for Lie Pseudo–Groups
• Geometric integration: numerical solution of differential equations on manifolds
• Moving coframes and symmetries of differential equations
• On the Local Theory of Continuous Infinite Pseudo Groups I
• Geometric foundations of numerical algorithms and symmetry
• Joint invariant signatures
• Algorithms for symmetric differential systems
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