There are a lot of structures on bundles (Tangent bundle, Cotangent bundle, Semi-Cotangent bundle, Tensor bundle, etc.) and n-dimensional differential manifolds Mn. The integrability of tensorial structures on a manifold and their extension to bundles such as tangent and cotangent bundles has been an active research topic for the last 60 years. Firstly, Japanese mathematician S.Sasaki (1912-1987) studies the differential geometry of tangent bundles of Riemannian manifolds in 1958. Later, the sub ...