2016/06/30 by J. F. Cariñena, F. Falceto, J. Grabowski · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #msc:34A26 #msc:37J15 #msc:37J35 #msc:70H06
paper · pdf · doi:10.1088/1751-8113/49/42/425202
published as J. Phys. A: Math. Theor. 49 (2016) 425202 (13pp) · 14 pages. Published version
arxiv created 2016/10/07 · arxiv updated 2016/11/03
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.