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arxiv: 0707.3253 · v1 · submitted 2007-07-22 · 🧮 math.DG · math.DS

Jet Riemann-Lagrange Geometry Applied to Evolution DEs Systems from Economy

classification 🧮 math.DG math.DS
keywords connectionseconomicevolutiongeometrymodelriemann-lagrangesystemsapplied
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The aim of this paper is to construct a natural Riemann-Lagrange differential geometry on 1-jet spaces, in the sense of nonlinear connections, generalized Cartan connections, d-torsions, d-curvatures, jet electromagnetic fields and jet Yang-Mills energies, starting from some given non-linear evolution DEs systems modelling economic phenomena, like the Kaldor model of the bussines cycle or the Tobin-Benhabib-Miyao model regarding the role of money on economic growth.

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