Equivalence Problem for Second Order Partially Differential Equations and Double Fibration as a Flat Model Space
Abstract
Description
In this paper, we consider an equivalence problem of second order partially differential equations (PDE) and a duality of the flat differential equation. For the equivalence problem, explicit form of invariants (curvatures) are given. We also investigate a duality associated with the flat equation using double fibrations. These double fibrations are described in terms of transformation groups.
19pages
19pages