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In this paper we describe the local Ricci and Bianchi identities for anh-normal N-linear connection D\Gamma(N) on the dual 1-jet space J^{1*}(T,M). Toreach this aim, we firstly give the expressions of the local distinguished (d-)adapted components of torsion and curvature tensors produced by D\Gamma(N), andthen we analyze their attached local Ricci identities. The derived deflectiond-tensor identities are also presented. Finally, we expose the localexpressions of the Bianchi identities (in the particular case of an h-normalN-linear connection of Cartan type), which geometrically connect the localtorsion and curvature d-tensors of the linear connection D\Gamma(N).

The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M)