Holomorphic manifolds and lifts in the bundle of 2-jets

Considering the bundle of 2-jets as a realization of the holomorphic manifold over three-dimensional nilpotent algebra, we introduce a new class of lifts of (1,1)-tensor fields to the bundle of 2-jets and Norden structures concerning the diagonal lifts are studied. Einstein structures in subspaces of the bundle of 2-jets with the locally product structure are considered and a special construction of the Ricci curvature tensor in the bundle was found