On the Geometry of Twisted Symmetries: Gauging and Coverings

Abstract

We consider the theory of \emph{twisted symmetries} of differential equations, in particular $\lambda$ and $\mu$-symmetries, and discuss their geometrical content. We focus on their interpretation in terms of gauge transformations on the one hand, and of coverings on the other one.

References in corpus (5)

• Nonlocal aspects of $\lambda$-symmetries and ODEs reduction
• Local and nonlocal solvable structures in ODEs reduction
• Nonlocal Symmetries, Telescopic Vector Fields and $\lambda$-Symmetries of Ordinary Differential Equations
• Reduction of systems of first-order differential equations via Lambda-symmetries
• Side conditions for ordinary differential equations

Cited by in corpus (1)

• Nonlocal pseudosymmetries and Bäcklund transformations as $\mathcal{C}$-morphisms