Abstract
The notion of a differential invariant for systems of second-order differential equations σ on a manifold M with respect to the group of vertical automorphisms of the projection p: ℝ ×M → ℝ, is defined and the Chern connection ∇ σ attached to a SODE σ allows one to determine a basis for second-order differential invariants of a SODE.
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Supported by Ministerio of Ciencia e Innovación of Spain (MICINN), under grant #MTM2008–01386.
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María, M.E.R. (2013). Differential Invariants of Second-Order Ordinary Differential Equations. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_39
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DOI: https://doi.org/10.1007/978-4-431-54270-4_39
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