Equivalence Problem for Second Order Pde and Double Fibration as a Flat Model Space
نویسندگان
چکیده
Abstract. 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. In particular, if all of the curvatures vanish, then PDE are equivalent to the flat equation. We also investigate a duality associated with the flat equation using double fibrations. These double fibrations are described in terms of transformation groups.
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