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arXiv · 1606.02472

Solvability of a Lie algebra of vector fields implies their integrability by quadratures

J. F. Cariñena·F. Falceto·J. Grabowski
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Abstract

We present a substantial generalisation of a classical result by Lie on integrability by quadratures. Namely, we prove that all vector fields in a finite-dimensional transitive and solvable Lie algebra of vector fields on a manifold can be integrated by quadratures.

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J. F. Cariñena, F. Falceto, J. Grabowski. 2016-10-07. Solvability of a Lie algebra of vector fields implies their integrability by quadratures. https://doi.org/10.1088/1751-8113%2F49%2F42%2F425202

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