Abstract
In this chapter, we set a geometric framework for the study of differential equation and their symmetries. We reconduct differential equations to manifolds in an appropriate space, the jet space; the main difference from the familiar case of algebraic equations in R n are the relations existing between a function and its derivatives: in geometrical terms, these are taken care of by the natural contact structure with which the jet space is equipped.
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© 1994 Springer Science+Business Media Dordrecht
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Gaeta, G. (1994). Geometric setting. In: Nonlinear Symmetries and Nonlinear Equations. Mathematics and Its Applications, vol 299. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1018-1_1
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DOI: https://doi.org/10.1007/978-94-011-1018-1_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4443-1
Online ISBN: 978-94-011-1018-1
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