Journal article
Existence and Construction of Vessiot Connections
Publication Details
Authors: | Fesser, D.; Seiler, W. |
Publication year: | 2009 |
Journal: | Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA) |
Pages range : | 0 |
Volume number: | 5 |
ISSN: | 1815-0659 |
eISSN: | 1815-0659 |
DOI-Link der Erstveröffentlichung: |
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.
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.
