Solvability of a Lie algebra of vector fields implies their integrability by quadratures
Mathematical Physics
2016-11-03 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1606.02472,
title = {Solvability of a Lie algebra of vector fields implies their integrability by quadratures},
author = {J. F. Cariñena and F. Falceto and J. Grabowski},
journal= {arXiv preprint arXiv:1606.02472},
year = {2016}
}
Comments
14 pages. Published version