We discuss how prolongations of vector fields, and hence symmetries of differential equations, are affected by changes of the reference frame in the dependent variables space depending on independent variables. We devise a relation with the recently developed theory of μ-prolongations of vector fields and μ-symmetries of differential equations.
Smooth changes of frame and prolongations of vector fields / G. Gaeta. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - 4:5(2007), pp. 807-827.
Smooth changes of frame and prolongations of vector fields
G. GaetaPrimo
2007
Abstract
We discuss how prolongations of vector fields, and hence symmetries of differential equations, are affected by changes of the reference frame in the dependent variables space depending on independent variables. We devise a relation with the recently developed theory of μ-prolongations of vector fields and μ-symmetries of differential equations.
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