On the geometry of twisted symmetries: gauging and coverings. (English) Zbl 1436.35021
Summary: We consider the theory of 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.
MSC:
| 35B06 | Symmetries, invariants, etc. in context of PDEs |
| 35A30 | Geometric theory, characteristics, transformations in context of PDEs |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
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