Integrability by quadratures for systems of involutive vector fields

• Published in: Український математичний журнал
• Date: 1991
• ISSN: 1027-3190
• Main Author: Basarab-Horwath, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1991
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154478
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integrability by quadratures for systems of involutive vector fields/ P. Basarab-Horwath // Український математичний журнал. — 1991. — Т. 43, № 10. — С. 1330–1337. — Бібліогр.: 9 назв. — англ.

Starting from results and ideas of S. Lie anb E. Cartan, we give a systematic and geometric treatment of integrability dy quadratures of involutive systems of vector filds, showing how-a-generalization of the usual multiplier can-de constructed with the aid of closed differential forms and enough sy...