Existence and Construction of Vessiot Connections

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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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dc.contributor.author	Fesser, D.
dc.contributor.author	Seiler, W.M.
dc.date.accessioned	2019-02-19T17:32:33Z
dc.date.available	2019-02-19T17:32:33Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 35A07; 35A30; 35N99; 58A20
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149123
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Existence and Construction of Vessiot Connections	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA