Existence and Construction of Vessiot Connections

Details Existence and Construction of Vessiot Connections Existence and Construction of Vessiot Connections

2009-09-25

arxiv.org/abs/0909.4728v1

SIGMA 5 (2009), 092, 41 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2009.092

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.

Affiliated with

Also associated with

No associations

Rating

Existence and Construction of Vessiot Connections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Existence and Construction of Vessiot Connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and Construction of Vessiot Connections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-326285