On intrinsic tensor structures of a second order tangent bundle (Q1381649)

Many \(G\)-structures called tensor structures are defined by means of tensor fields. Among them, one can distinguish structures for which these tensor fields are affine. The geometry of manifolds equipped with such \(G\)-structures were studied by many authors. However, questions of the intrinsic geometry of manifolds with such structures have been studied relatively little, especially in the case of almost double and almost dual structures. This note is devoted to the study of intrinsic tensor structures appearing on second-order tangent bundles \(T^2(V_n)\) equipped with a linear connection.