We give an account, in terms of synthetic differential geometry, of some of Sophus Lie's geometric theory of first order differential equations. This theory is, in modern terms, formulated in terms of vector fields on manifolds.
Keywords: infinitesimal transformation, vector field, synthetic differential geometry
2020 MSC: 18F40, 53A17, 34A26, 18A40
Theory and Applications of Categories, Vol. 43, 2025, No. 5, pp 93-107.
Published 2025-03-06.
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