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Existence and Construction of Vessiot Connections
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
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Existence and Construction of Vessiot Connections
Інший ID:
2000 Mathematics Subject Classification: 35A07; 35A30; 35N99; 58A20
Посилання:
Existence and Construction of Vessiot Connections / D. Fesser, W.M. Seiler // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. This work received partial financial support by the European NEST-Adventure grant 5006, Global Integrability of Field Theories.
Дата:
2009
Переглядів:
363
Завантажень:
213
Анотація:
A rigorous formulation of Vessiot's vector field approach to the analysis of general systems of partial differential equations is provided. It is shown that this approach is equivalent to the formal theory of differential equations and that it can be carried through if, and only if, the given system is involutive. As a by-product, we provide a novel characterisation of transversal integral elements via the contact map.
