Existence and Construction of Vessiot Connections
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 s...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149123 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862635045992267776 |
|---|---|
| author | Fesser, D. Seiler, W.M. |
| author_facet | Fesser, D. Seiler, W.M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-30T17:03:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149123 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T17:03:29Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fesser, D. Seiler, W.M. 2019-02-19T17:32:33Z 2019-02-19T17:32:33Z 2009 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. 1815-0659 2000 Mathematics Subject Classification: 35A07; 35A30; 35N99; 58A20 https://nasplib.isofts.kiev.ua/handle/123456789/149123 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Existence and Construction of Vessiot Connections Article published earlier |
| spellingShingle | Existence and Construction of Vessiot Connections Fesser, D. Seiler, W.M. |
| title | Existence and Construction of Vessiot Connections |
| title_full | Existence and Construction of Vessiot Connections |
| title_fullStr | Existence and Construction of Vessiot Connections |
| title_full_unstemmed | Existence and Construction of Vessiot Connections |
| title_short | Existence and Construction of Vessiot Connections |
| title_sort | existence and construction of vessiot connections |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149123 |
| work_keys_str_mv | AT fesserd existenceandconstructionofvessiotconnections AT seilerwm existenceandconstructionofvessiotconnections |