Algebraic polyaffinor structures and lifts

In this thesis, the $-Tachibana operator was applied to the pure mixed tensor on the invariant submanifold of class C°°.In addition, it has been shown that, if Riemann metric tensor g-ij is $-tensor then induced Riemann metric tensor gAB is o-tensor. Let Vn be Riemann manifold. Provided that / : T£{Vn) -> Tjj+l(Vn) diffeomorphism, it was shown that if CV2 = f* CV1 then vector field V must be Killing vector field. Finally, algebraic structures are defined over Mn manifold by U = {^} polyaffinor structure and the expansion of d/x differential was proved almost holomophic with respect to algebraic structure cII. And it was investigated the prolongations of XV-derivations in a manifold Mn to its tensor bundle Tp(Mn), Dp being a derivation determined by a tensor field of type (1.1). 2002, 83 pages Keywords: Differentiable manifold, pure tensor, lift, connection, curvature tensor.