SMOOTH CHANGES OF FRAME AND PROLONGATIONS OF VECTOR FIELDS

DOI10.1142/S0219887807002302zbMath1146.58029MaRDI QIDQ3503079

Giuseppe Gaeta

Publication date: 20 May 2008

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

zbMATH Keywords

vector fielddifferential equationframegauge transformationprolongationLie symmetry\(\mu\)-symmetry

Mathematics Subject Classification ID

Jets in global analysis (58A20) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

TWISTED SYMMETRIES AND INTEGRABLE SYSTEMS ⋮ On the geometry of twisted prolongations, and dynamical systems ⋮ Reduction of systems of first-order differential equations via \(\Lambda \)-symmetries ⋮ A gauge-theoretic description of \(\mu \)-prolongations, and \(\mu \)-symmetries of differential equations ⋮ On the geometry of twisted symmetries: gauging and coverings

Cites Work

• Variational \(C^{\infty}\)-symmetries and Euler--Lagrange equations
• New methods of reduction for ordinary differential equations
• On the geometry of lambda-symmetries and PDE reduction
• On the reduction methods for ordinary differential equations
• On the relation between standard and  -symmetries for PDEs
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