Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$

Abstract

In this paper firstly, operators were applied to vertical and horizontal lifts with respect to the diagonal lift ϕ^{D} of tensor fields of type (1,1) from manifold to its tensor bundle of type (p,q) along the cross-section, respectively. Secondly, we get the conditions of almost holomorfic vector field with respect to ϕ^{D} on T_{q}^{p}(M).