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It is known since E.Caftan[1] that the geometric (coordinate independent) structure of anal vtical mechanics can be effectively understood in terms of the differential 1-form.the Cartan form (θ)λ =Ldt + (a)L/(a)(q) ωσ.where γ=Ldt is the Lagrangian, and ω(σ) =dq(σ)-(q)(σ)dt.The Cartans heuristic construction has been later explained and extended to higher order mechanics and field theory and to differential forms of higher degree.