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In this paper we expose on the dual 1-jet space J^{1*}(R,M^4) thedistinguished (d-) Riemannian geometry (in the sense of d-connection,d-torsions, d-curvatures and some gravitational-like and electromagnetic-likegeometrical models) for the (t,x)-conformal deformed Berwald-Moor Hamiltonianmetric of order four.

Jet Riemann-Hamilton geometrization for the conformal deformed Berwald-Moor quartic metric depending on momenta