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math.DG2011★ 12 cited
Geometric Hamilton-Jacobi Field Theory
Luca Vitagliano
I briefly review my proposal about how to extend the geometric Hamilton-Jacobi theory to higher derivative field theories on fiber bundles.
math.DG2011★ 13 cited
Hamilton-Jacobi Diffieties
L. Vitagliano
Diffieties formalize geometrically the concept of differential equations. We introduce and study Hamilton-Jacobi diffieties. They are finite dimensional subdiffieties of a given di…