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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 Mn admits a Kahlerian structure (φ, g), its tensor bundle of type (p, q) admits an complex structure.

DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1,1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONS