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Hamilton-Jacobi Diffieties

Abstract

Diffieties formalize geometrically the concept of differential equations. We introduce and study Hamilton-Jacobi diffieties. They are finite dimensional subdiffieties of a given diffiety and appear to play a special role in the field theoretic version of the geometric Hamilton-Jacobi theory.Comment: 31 pages, to appear in Journal of Geometry and Physics, slight changes in the presentation to match the version accepted by the journa

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