Diagonal lifts of tensor fields of type $(1,1)$ on cross-sections in tensor bundles and its applications

摘要

The main purpose of this paper is to investigate diagonal lift of tensor fields of type $(1,1)$ from manifold to its tensor bundle of type $(p,q)$ and to prove that when a manifold $M_{n}$ admits a K"{a}hlerian structure $(arphi ,g)$, its tensor bundle of type $(p,q)$ admits an complex structure.