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

Autor:	Cariñena, J. F., Falceto, F., Grabowski, J.
Rok vydání:	2016
Předmět:	Mathematical Physics 34A26 37J15 37J35 70H06
Zdroj:	J. Phys. A: Math. Theor. 49 (2016) 425202 (13pp)
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/49/42/425202
Popis:	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. Comment: 14 pages. Published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.02472 Zobrazit plný text záznamu View this record from Arxiv