Integrability by quadratures for systems of involutive vector fields
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Integrability by quadratures for systems of involutive vector fields
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| Creator |
Basarab-Horwath, P.
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| Subject |
Статті
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| Description |
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 symmetry vector fields. This leads us to explicit formulas for the indepen-. dent integrals. These results allow us to identify symmetries with integral invariants in the sense of Poincare and Cartan. A further (new) result gives the equivalence of integrability by quadratures and the existence of solvable structures, these latter being generalizations. of solvable algebras.
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| Date |
2019-06-15T15:58:37Z
2019-06-15T15:58:37Z 1991 |
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| Type |
Article
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| Identifier |
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.
1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/154478 517.9 |
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| Language |
en
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| Relation |
Український математичний журнал
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| Publisher |
Інститут математики НАН України
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